315257234640 has 160 divisors (see below), whose sum is σ = 994993459200. Its totient is φ = 82549608960.

The previous prime is 315257234629. The next prime is 315257234641. The reversal of 315257234640 is 46432752513.

It is a junction number, because it is equal to n+sod(n) for n = 315257234592 and 315257234601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315257234641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12887541 + ... + 12911979.

It is an arithmetic number, because the mean of its divisors is an integer number (6218709120).

Almost surely, 2^315257234640 is an apocalyptic number.

315257234640 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 315257234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497496729600).

315257234640 is an abundant number, since it is smaller than the sum of its proper divisors (679736224560).

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

315257234640 is a wasteful number, since it uses less digits than its factorization.

315257234640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25425 (or 25419 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 315257234640 in words is "three hundred fifteen billion, two hundred fifty-seven million, two hundred thirty-four thousand, six hundred forty".