312387107797440 has 336 divisors, whose sum is σ = 1172985071539008. Its totient is φ = 75841927299072.

The previous prime is 312387107797393. The next prime is 312387107797451. The reversal of 312387107797440 is 44797701783213.

It is a happy number.

312387107797440 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 87 + 107 + 7 + 9 + 7 + 440 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 54415324 + ... + 59881563.

It is an arithmetic number, because the mean of its divisors is an integer number (3491026998628).

Almost surely, 2^{312387107797440} is an apocalyptic number.

312387107797440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312387107797440 is an abundant number, since it is smaller than the sum of its proper divisors (860597963741568).

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

312387107797440 is a wasteful number, since it uses less digits than its factorization.

312387107797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114296996 (or 114296983 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 312387107797440 in words is "three hundred twelve trillion, three hundred eighty-seven billion, one hundred seven million, seven hundred ninety-seven thousand, four hundred forty".