431685073778120 has 64 divisors (see below), whose sum is σ = 991161537571440. Its totient is φ = 169151728844800.

The previous prime is 431685073778099. The next prime is 431685073778137. The reversal of 431685073778120 is 21877370586134.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 391065891448996 + 40619182329124 = 19775386^2 + 6373318^2 .

It is a super-2 number, since 2×431685073778120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157474961 + ... + 160192800.

Almost surely, 2^{431685073778120} is an apocalyptic number.

431685073778120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431685073778120 is an abundant number, since it is smaller than the sum of its proper divisors (559476463793320).

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

431685073778120 is a wasteful number, since it uses less digits than its factorization.

431685073778120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317668466 (or 317668462 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 62.

The spelling of 431685073778120 in words is "four hundred thirty-one trillion, six hundred eighty-five billion, seventy-three million, seven hundred seventy-eight thousand, one hundred twenty".