431395857069408 has 1536 divisors, whose sum is σ = 1606724135976960. Its totient is φ = 109378833408000.

The previous prime is 431395857069313. The next prime is 431395857069421. The reversal of 431395857069408 is 804960758593134.

431395857069408 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 9 + 5 + 8 + 570 + 6 + 9 + 40 + 8 = 666.

It is a super-2 number, since 2×431395857069408² (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 255 ways as a sum of consecutive naturals, for example, 140932980198 + ... + 140932983258.

It is an arithmetic number, because the mean of its divisors is an integer number (1046044359360).

Almost surely, 2^{431395857069408} is an apocalyptic number.

431395857069408 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 431395857069408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803362067988480).

431395857069408 is an abundant number, since it is smaller than the sum of its proper divisors (1175328278907552).

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

431395857069408 is a wasteful number, since it uses less digits than its factorization.

431395857069408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 431395857069408 in words is "four hundred thirty-one trillion, three hundred ninety-five billion, eight hundred fifty-seven million, sixty-nine thousand, four hundred eight".