315761407040 has 112 divisors (see below), whose sum is σ = 777849600000. Its totient is φ = 121964451840.

The previous prime is 315761407001. The next prime is 315761407051. The reversal of 315761407040 is 40704167513.

It is a junction number, because it is equal to n+sod(n) for n = 315761406985 and 315761407003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4558586 + ... + 4627334.

Almost surely, 2^315761407040 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 315761407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388924800000).

315761407040 is an abundant number, since it is smaller than the sum of its proper divisors (462088192960).

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

315761407040 is a wasteful number, since it uses less digits than its factorization.

315761407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69260 (or 69250 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 315761407040 in words is "three hundred fifteen billion, seven hundred sixty-one million, four hundred seven thousand, forty".