315111150503040 has 128 divisors (see below), whose sum is σ = 1048087087689600. Its totient is φ = 80376177508352.

The previous prime is 315111150503029. The next prime is 315111150503053. The reversal of 315111150503040 is 40305051111513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 315111150502989 and 315111150503007.

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, 3567790425 + ... + 3567878744.

It is an arithmetic number, because the mean of its divisors is an integer number (8188180372575).

Almost surely, 2^{315111150503040} is an apocalyptic number.

315111150503040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315111150503040 is an abundant number, since it is smaller than the sum of its proper divisors (732975937186560).

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

315111150503040 is a wasteful number, since it uses less digits than its factorization.

315111150503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135669214 (or 7135669202 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 315111150503040 in words is "three hundred fifteen trillion, one hundred eleven billion, one hundred fifty million, five hundred three thousand, forty".