431216902144 has 120 divisors (see below), whose sum is σ = 991101614048. Its totient is φ = 183777361920.

The previous prime is 431216902139. The next prime is 431216902157. The reversal of 431216902144 is 441209612134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20748142 + ... + 20768914.

Almost surely, 2^431216902144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431216902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495550807024).

431216902144 is an abundant number, since it is smaller than the sum of its proper divisors (559884711904).

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

431216902144 is an equidigital number, since it uses as much as digits as its factorization.

431216902144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20989 (or 20963 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 431216902144 in words is "four hundred thirty-one billion, two hundred sixteen million, nine hundred two thousand, one hundred forty-four".