4495616400 has 120 divisors (see below), whose sum is σ = 15710181984. Its totient is φ = 1089843200.

The previous prime is 4495616387. The next prime is 4495616401. The reversal of 4495616400 is 46165944.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (4495616401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157089 + ... + 183488.

Almost surely, 2^4495616400 is an apocalyptic number.

4495616400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4495616400 is an abundant number, since it is smaller than the sum of its proper divisors (11214565584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4495616400 is a wasteful number, since it uses less digits than its factorization.

4495616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340609 (or 340598 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4495616400 is about 67049.3579387603. The cubic root of 4495616400 is about 1650.4273640470.

The spelling of 4495616400 in words is "four billion, four hundred ninety-five million, six hundred sixteen thousand, four hundred".