312490410624 has 224 divisors, whose sum is σ = 1066724804640. Its totient is φ = 89282787840.

The previous prime is 312490410613. The next prime is 312490410667. The reversal of 312490410624 is 426014094213.

312490410624 is a `hidden beast` number, since 3 + 1 + 24 + 9 + 0 + 4 + 1 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×312490410624² (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 an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 413979 + ... + 892389.

Almost surely, 2^312490410624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312490410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533362402320).

312490410624 is an abundant number, since it is smaller than the sum of its proper divisors (754234394016).

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

312490410624 is an frugal number, since it uses more digits than its factorization.

312490410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478450 (or 478423 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 312490410624 in words is "three hundred twelve billion, four hundred ninety million, four hundred ten thousand, six hundred twenty-four".