431431076104560 has 240 divisors, whose sum is σ = 1655903374347456. Its totient is φ = 98611041779712.

The previous prime is 431431076104531. The next prime is 431431076104573. The reversal of 431431076104560 is 65401670134134.

431431076104560 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 3 + 1 + 0 + 76 + 10 + 4 + 560 = 666.

It is a Cunningham number, because it is equal to 20770919²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×431431076104560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290051062 + ... + 291534698.

Almost surely, 2^{431431076104560} is an apocalyptic number.

431431076104560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431431076104560 is an abundant number, since it is smaller than the sum of its proper divisors (1224472298242896).

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

431431076104560 is a wasteful number, since it uses less digits than its factorization.

431431076104560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541360 (or 1541351 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 431431076104560 in words is "four hundred thirty-one trillion, four hundred thirty-one billion, seventy-six million, one hundred four thousand, five hundred sixty".