312874444440 has 96 divisors (see below), whose sum is σ = 1017061531200. Its totient is φ = 83415168000.

The previous prime is 312874444439. The next prime is 312874444447. The reversal of 312874444440 is 44444478213.

312874444440 is a `hidden beast` number, since 3 + 128 + 7 + 44 + 44 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312874444447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1618896 + ... + 1801824.

It is an arithmetic number, because the mean of its divisors is an integer number (10594390950).

Almost surely, 2^312874444440 is an apocalyptic number.

312874444440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312874444440 is an abundant number, since it is smaller than the sum of its proper divisors (704187086760).

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

312874444440 is a wasteful number, since it uses less digits than its factorization.

312874444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187697 (or 187690 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 312874444440 in words is "three hundred twelve billion, eight hundred seventy-four million, four hundred forty-four thousand, four hundred forty".