315040194720 has 1080 divisors, whose sum is σ = 1251861775164. Its totient is φ = 74585899008.

The previous prime is 315040194643. The next prime is 315040194731. The reversal of 315040194720 is 27491040513.

It can be written as a sum of positive squares in 6 ways, for example, as 178107632784 + 136932561936 = 422028^2 + 370044^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 179 ways as a sum of consecutive naturals, for example, 1352103724 + ... + 1352103956.

Almost surely, 2^315040194720 is an apocalyptic number.

315040194720 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 315040194720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625930887582).

315040194720 is an abundant number, since it is smaller than the sum of its proper divisors (936821580444).

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

315040194720 is a wasteful number, since it uses less digits than its factorization.

315040194720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 315040194720 in words is "three hundred fifteen billion, forty million, one hundred ninety-four thousand, seven hundred twenty".