315988374240 has 1344 divisors, whose sum is σ = 1410725901312. Its totient is φ = 64945152000.

The previous prime is 315988374239. The next prime is 315988374257. The reversal of 315988374240 is 42473889513.

It is a happy number.

315988374240 is a `hidden beast` number, since 3 + 1 + 598 + 8 + 3 + 7 + 4 + 2 + 40 = 666.

315988374240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1356173164 + ... + 1356173396.

It is an arithmetic number, because the mean of its divisors is an integer number (1049647248).

Almost surely, 2^315988374240 is an apocalyptic number.

315988374240 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 315988374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705362950656).

315988374240 is an abundant number, since it is smaller than the sum of its proper divisors (1094737527072).

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

315988374240 is a wasteful number, since it uses less digits than its factorization.

315988374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 315988374240 in words is "three hundred fifteen billion, nine hundred eighty-eight million, three hundred seventy-four thousand, two hundred forty".