diff --git a/src/Analyser/NameScope.php b/src/Analyser/NameScope.php
index 76d1ed5a74..fe18eea6fc 100644
--- a/src/Analyser/NameScope.php
+++ b/src/Analyser/NameScope.php
@@ -47,6 +47,11 @@ public function getUses(): array
 		return $this->uses;
 	}
 
+	public function hasUseAlias(string $name): bool
+	{
+		return isset($this->uses[strtolower($name)]);
+	}
+
 	public function getClassName(): ?string
 	{
 		return $this->className;
diff --git a/src/PhpDoc/TypeNodeResolver.php b/src/PhpDoc/TypeNodeResolver.php
index 5d89f80433..291ecf7b85 100644
--- a/src/PhpDoc/TypeNodeResolver.php
+++ b/src/PhpDoc/TypeNodeResolver.php
@@ -152,9 +152,21 @@ private function resolveIdentifierTypeNode(IdentifierTypeNode $typeNode, NameSco
 				return new UnionType([new IntegerType(), new FloatType(), new StringType(), new BooleanType()]);
 
 			case 'number':
+				$type = $this->tryResolvePseudoTypeClassType($typeNode, $nameScope);
+
+				if ($type !== null) {
+					return $type;
+				}
+
 				return new UnionType([new IntegerType(), new FloatType()]);
 
 			case 'numeric':
+				$type = $this->tryResolvePseudoTypeClassType($typeNode, $nameScope);
+
+				if ($type !== null) {
+					return $type;
+				}
+
 				return new UnionType([
 					new IntegerType(),
 					new FloatType(),
@@ -171,7 +183,15 @@ private function resolveIdentifierTypeNode(IdentifierTypeNode $typeNode, NameSco
 				]);
 
 			case 'bool':
+				return new BooleanType();
+
 			case 'boolean':
+				$type = $this->tryResolvePseudoTypeClassType($typeNode, $nameScope);
+
+				if ($type !== null) {
+					return $type;
+				}
+
 				return new BooleanType();
 
 			case 'true':
@@ -184,7 +204,15 @@ private function resolveIdentifierTypeNode(IdentifierTypeNode $typeNode, NameSco
 				return new NullType();
 
 			case 'float':
+				return new FloatType();
+
 			case 'double':
+				$type = $this->tryResolvePseudoTypeClassType($typeNode, $nameScope);
+
+				if ($type !== null) {
+					return $type;
+				}
+
 				return new FloatType();
 
 			case 'array':
@@ -204,6 +232,12 @@ private function resolveIdentifierTypeNode(IdentifierTypeNode $typeNode, NameSco
 				return new CallableType();
 
 			case 'resource':
+				$type = $this->tryResolvePseudoTypeClassType($typeNode, $nameScope);
+
+				if ($type !== null) {
+					return $type;
+				}
+
 				return new ResourceType();
 
 			case 'mixed':
@@ -216,6 +250,14 @@ private function resolveIdentifierTypeNode(IdentifierTypeNode $typeNode, NameSco
 				return new ObjectWithoutClassType();
 
 			case 'never':
+				$type = $this->tryResolvePseudoTypeClassType($typeNode, $nameScope);
+
+				if ($type !== null) {
+					return $type;
+				}
+
+				return new NeverType(true);
+
 			case 'never-return':
 			case 'never-returns':
 			case 'no-return':
@@ -263,6 +305,25 @@ private function resolveIdentifierTypeNode(IdentifierTypeNode $typeNode, NameSco
 		return new ObjectType($stringName);
 	}
 
+	private function tryResolvePseudoTypeClassType(IdentifierTypeNode $typeNode, NameScope $nameScope): ?Type
+	{
+		if ($nameScope->hasUseAlias($typeNode->name)) {
+			return new ObjectType($nameScope->resolveStringName($typeNode->name));
+		}
+
+		if ($nameScope->getNamespace() === null) {
+			return null;
+		}
+
+		$className = $nameScope->resolveStringName($typeNode->name);
+
+		if ($this->getReflectionProvider()->hasClass($className)) {
+			return new ObjectType($className);
+		}
+
+		return null;
+	}
+
 	private function resolveThisTypeNode(ThisTypeNode $typeNode, NameScope $nameScope): Type
 	{
 		$className = $nameScope->getClassName();
diff --git a/tests/PHPStan/Analyser/NodeScopeResolverTest.php b/tests/PHPStan/Analyser/NodeScopeResolverTest.php
index 258190aab0..fd7e49a467 100644
--- a/tests/PHPStan/Analyser/NodeScopeResolverTest.php
+++ b/tests/PHPStan/Analyser/NodeScopeResolverTest.php
@@ -5619,6 +5619,23 @@ public function dataArrayFunctions(): array
 		];
 	}
 
+	public function dataPseudoTypeOverrides(): array
+	{
+		return $this->gatherAssertTypes(__DIR__ . '/data/phpdoc-pseudotype-override.php');
+	}
+
+	public function dataPseudoTypeNamespace(): array
+	{
+		require_once __DIR__ . '/data/phpdoc-pseudotype-namespace.php';
+
+		return $this->gatherAssertTypes(__DIR__ . '/data/phpdoc-pseudotype-namespace.php');
+	}
+
+	public function dataPseudoTypeGlobal(): array
+	{
+		return $this->gatherAssertTypes(__DIR__ . '/data/phpdoc-pseudotype-global.php');
+	}
+
 	/**
 	 * @dataProvider dataArrayFunctions
 	 * @param string $description
@@ -11220,6 +11237,9 @@ private function gatherAssertTypes(string $file): array
 	 * @dataProvider dataNestedGenericIncompleteConstructor
 	 * @dataProvider dataIteratorIterator
 	 * @dataProvider dataBug4642
+	 * @dataProvider dataPseudoTypeGlobal
+	 * @dataProvider dataPseudoTypeNamespace
+	 * @dataProvider dataPseudoTypeOverrides
 	 * @param string $assertType
 	 * @param string $file
 	 * @param mixed ...$args
diff --git a/tests/PHPStan/Analyser/data/phpdoc-pseudotype-global.php b/tests/PHPStan/Analyser/data/phpdoc-pseudotype-global.php
new file mode 100644
index 0000000000..ac466625a4
--- /dev/null
+++ b/tests/PHPStan/Analyser/data/phpdoc-pseudotype-global.php
@@ -0,0 +1,30 @@
+<?php
+
+use function PHPStan\Analyser\assertType;
+
+function () {
+	/** @var Number $number */
+	$number = doFoo();
+
+	/** @var Boolean $boolean */
+	$boolean = doFoo();
+
+	/** @var Numeric $numeric */
+	$numeric = doFoo();
+
+	/** @var Never $never */
+	$never = doFoo();
+
+	/** @var Resource $resource */
+	$resource = doFoo();
+
+	/** @var Double $double */
+	$double = doFoo();
+
+	assertType('float|int', $number);
+	assertType('float|int|(string&numeric)', $numeric);
+	assertType('bool', $boolean);
+	assertType('resource', $resource);
+	assertType('*NEVER*', $never);
+	assertType('float', $double);
+};
diff --git a/tests/PHPStan/Analyser/data/phpdoc-pseudotype-namespace.php b/tests/PHPStan/Analyser/data/phpdoc-pseudotype-namespace.php
new file mode 100644
index 0000000000..d63ccf9863
--- /dev/null
+++ b/tests/PHPStan/Analyser/data/phpdoc-pseudotype-namespace.php
@@ -0,0 +1,39 @@
+<?php
+
+namespace PhpdocPseudoTypesNamespace;
+
+use function PHPStan\Analyser\assertType;
+
+class Number {}
+class Numeric {}
+class Boolean {}
+class Resource {}
+class Never {}
+class Double {}
+
+function () {
+	/** @var Number $number */
+	$number = doFoo();
+
+	/** @var Boolean $boolean */
+	$boolean = doFoo();
+
+	/** @var Numeric $numeric */
+	$numeric = doFoo();
+
+	/** @var Never $never */
+	$never = doFoo();
+
+	/** @var Resource $resource */
+	$resource = doFoo();
+
+	/** @var Double $double */
+	$double = doFoo();
+
+	assertType('PhpdocPseudoTypesNamespace\Number', $number);
+	assertType('PhpdocPseudoTypesNamespace\Numeric', $numeric);
+	assertType('PhpdocPseudoTypesNamespace\Boolean', $boolean);
+	assertType('PhpdocPseudoTypesNamespace\Resource', $resource);
+	assertType('PhpdocPseudoTypesNamespace\Never', $never);
+	assertType('PhpdocPseudoTypesNamespace\Double', $double);
+};
diff --git a/tests/PHPStan/Analyser/data/phpdoc-pseudotype-override.php b/tests/PHPStan/Analyser/data/phpdoc-pseudotype-override.php
new file mode 100644
index 0000000000..e8e9471753
--- /dev/null
+++ b/tests/PHPStan/Analyser/data/phpdoc-pseudotype-override.php
@@ -0,0 +1,37 @@
+<?php
+
+use Foo\Number;
+use Foo\Numeric;
+use Foo\Boolean;
+use Foo\Resource;
+use Foo\Never;
+use Foo\Double;
+
+use function PHPStan\Analyser\assertType;
+
+function () {
+	/** @var Number $number */
+	$number = doFoo();
+
+	/** @var Boolean $boolean */
+	$boolean = doFoo();
+
+	/** @var Numeric $numeric */
+	$numeric = doFoo();
+
+	/** @var Never $never */
+	$never = doFoo();
+
+	/** @var Resource $resource */
+	$resource = doFoo();
+
+	/** @var Double $double */
+	$double = doFoo();
+
+	assertType('Foo\Number', $number);
+	assertType('Foo\Numeric', $numeric);
+	assertType('Foo\Boolean', $boolean);
+	assertType('Foo\Resource', $resource);
+	assertType('Foo\Never', $never);
+	assertType('Foo\Double', $double);
+};