315383207040 has 1536 divisors, whose sum is σ = 1343023718400. Its totient is φ = 69872025600.

The previous prime is 315383207023. The next prime is 315383207089. The reversal of 315383207040 is 40702383513.

315383207040 is a `hidden beast` number, since 31 + 5 + 383 + 207 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 315383206986 and 315383207004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1007613924 + ... + 1007614236.

It is an arithmetic number, because the mean of its divisors is an integer number (874364400).

Almost surely, 2^315383207040 is an apocalyptic number.

315383207040 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 315383207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671511859200).

315383207040 is an abundant number, since it is smaller than the sum of its proper divisors (1027640511360).

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

315383207040 is a wasteful number, since it uses less digits than its factorization.

315383207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 315383207040 in words is "three hundred fifteen billion, three hundred eighty-three million, two hundred seven thousand, forty".