431441808956928 has 5040 divisors, whose sum is σ = 1801110466552320. Its totient is φ = 102429702144000.

The previous prime is 431441808956903. The next prime is 431441808957091. The reversal of 431441808956928 is 829659808144134.

It is a happy number.

431441808956928 is a `hidden beast` number, since 4 + 3 + 1 + 44 + 18 + 0 + 8 + 9 + 569 + 2 + 8 = 666.

It is a super-2 number, since 2×431441808956928² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1303449573723 + ... + 1303449574053.

It is an arithmetic number, because the mean of its divisors is an integer number (357363187808).

Almost surely, 2^{431441808956928} is an apocalyptic number.

431441808956928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431441808956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900555233276160).

431441808956928 is an abundant number, since it is smaller than the sum of its proper divisors (1369668657595392).

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

431441808956928 is a wasteful number, since it uses less digits than its factorization.

431441808956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 431441808956928 in words is "four hundred thirty-one trillion, four hundred forty-one billion, eight hundred eight million, nine hundred fifty-six thousand, nine hundred twenty-eight".