Python has arbitrary precision integers so there is no true fixed maximum. You're only limited by available memory.
In Python 2, there are two types, int and long. ints use a C type, while longs are arbitrary precision. You can use sys.maxint to find the maximum int. But ints are automatically promoted to long, so you usually don't need to worry about it:
sys.maxint + 1
works fine and returns a long.
sys.maxint does not even exist in Python 3, since int and long were unified into a single arbitrary precision int type.
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