312900013440 has 1728 divisors, whose sum is σ = 1378788006960. Its totient is φ = 65130283008.

The previous prime is 312900013411. The next prime is 312900013441. The reversal of 312900013440 is 44310009213.

312900013440 is a `hidden beast` number, since 31 + 290 + 0 + 0 + 1 + 344 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312900013441) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3769879639 + ... + 3769879721.

Almost surely, 2^312900013440 is an apocalyptic number.

312900013440 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 312900013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689394003480).

312900013440 is an abundant number, since it is smaller than the sum of its proper divisors (1065887993520).

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

312900013440 is a wasteful number, since it uses less digits than its factorization.

312900013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 312900013440 in words is "three hundred twelve billion, nine hundred million, thirteen thousand, four hundred forty".