432528865120 has 72 divisors (see below), whose sum is σ = 1123189934832. Its totient is φ = 157283216640.

The previous prime is 432528865073. The next prime is 432528865151. The reversal of 432528865120 is 21568825234.

It is a super-2 number, since 2×432528865120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11151324 + ... + 11190043.

It is an arithmetic number, because the mean of its divisors is an integer number (15599860206).

Almost surely, 2^432528865120 is an apocalyptic number.

432528865120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432528865120 is an abundant number, since it is smaller than the sum of its proper divisors (690661069712).

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

432528865120 is a wasteful number, since it uses less digits than its factorization.

432528865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22341404 (or 22341385 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 432528865120 in words is "four hundred thirty-two billion, five hundred twenty-eight million, eight hundred sixty-five thousand, one hundred twenty".