312413264034240 has 112 divisors (see below), whose sum is σ = 991916271545760. Its totient is φ = 83309854494720.

The previous prime is 312413264034181. The next prime is 312413264034257. The reversal of 312413264034240 is 42430462314213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295287306 + ... + 296343414.

Almost surely, 2^{312413264034240} is an apocalyptic number.

312413264034240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312413264034240 is an abundant number, since it is smaller than the sum of its proper divisors (679503007511520).

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

312413264034240 is a wasteful number, since it uses less digits than its factorization.

312413264034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364270 (or 1364260 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 312413264034240 in words is "three hundred twelve trillion, four hundred thirteen billion, two hundred sixty-four million, thirty-four thousand, two hundred forty".