315366013513440 has 120 divisors (see below), whose sum is σ = 1112979222736920. Its totient is φ = 84097603600128.

The previous prime is 315366013513433. The next prime is 315366013513451. The reversal of 315366013513440 is 44315310663513.

It is a happy number.

315366013513440 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 6 + 60 + 135 + 13 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12166885710 + ... + 12166911629.

It is an arithmetic number, because the mean of its divisors is an integer number (9274826856141).

Almost surely, 2^{315366013513440} is an apocalyptic number.

315366013513440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315366013513440 is an abundant number, since it is smaller than the sum of its proper divisors (797613209223480).

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

315366013513440 is a wasteful number, since it uses less digits than its factorization.

315366013513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24333797366 (or 24333797349 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 315366013513440 in words is "three hundred fifteen trillion, three hundred sixty-six billion, thirteen million, five hundred thirteen thousand, four hundred forty".