312431567040 has 560 divisors, whose sum is σ = 1134628960608. Its totient is φ = 81589026816.

The previous prime is 312431567027. The next prime is 312431567047. The reversal of 312431567040 is 40765134213.

312431567040 is a `hidden beast` number, since 3 + 1 + 24 + 31 + 567 + 0 + 40 = 666.

It is a super-2 number, since 2×312431567040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312431566986 and 312431567004.

It is not an unprimeable number, because it can be changed into a prime (312431567047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 308421574 + ... + 308422586.

Almost surely, 2^312431567040 is an apocalyptic number.

312431567040 is a gapful number since it is divisible by the number (30) 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 312431567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567314480304).

312431567040 is an abundant number, since it is smaller than the sum of its proper divisors (822197393568).

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

312431567040 is a wasteful number, since it uses less digits than its factorization.

312431567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 312431567040 in words is "three hundred twelve billion, four hundred thirty-one million, five hundred sixty-seven thousand, forty".