Apart from grabbing the special __name__ attribute, you might find yourself in need of the qualified name for a given class/function. This is done by grabbing the types __qualname__.
In most cases, these will be exactly the same, but, when dealing with nested classes/methods these differ in the output you get. For example:
class Spam:
def meth(self):
pass
class Bar:
pass
>>> s = Spam()
>>> type(s).__name__
'Spam'
>>> type(s).__qualname__
'Spam'
>>> type(s).Bar.__name__ # type not needed here
'Bar'
>>> type(s).Bar.__qualname__ # type not needed here
'Spam.Bar'
>>> type(s).meth.__name__
'meth'
>>> type(s).meth.__qualname__
'Spam.meth'
Since introspection is what you're after, this is always you might want to consider.