432408253824 has 80 divisors (see below), whose sum is σ = 1286839987620. Its totient is φ = 144136081152.

The previous prime is 432408253817. The next prime is 432408253859. The reversal of 432408253824 is 428352804234.

432408253824 is a `hidden beast` number, since 4 + 3 + 240 + 8 + 25 + 382 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 432408253824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20842654 + ... + 20863389.

Almost surely, 2^432408253824 is an apocalyptic number.

It is an amenable number.

432408253824 is an abundant number, since it is smaller than the sum of its proper divisors (854431733796).

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

432408253824 is an equidigital number, since it uses as much as digits as its factorization.

432408253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41706069 (or 41706048 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 432408253824 in words is "four hundred thirty-two billion, four hundred eight million, two hundred fifty-three thousand, eight hundred twenty-four".