315361382400 has 780 divisors, whose sum is σ = 1180187227692. Its totient is φ = 83235962880.

The previous prime is 315361382377. The next prime is 315361382411. The reversal of 315361382400 is 4283163513.

315361382400 is a `hidden beast` number, since 3 + 1 + 536 + 1 + 3 + 82 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 613453824 + 314747928576 = 24768^2 + 561024^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1600819102 + ... + 1600819298.

Almost surely, 2^315361382400 is an apocalyptic number.

315361382400 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 315361382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590093613846).

315361382400 is an abundant number, since it is smaller than the sum of its proper divisors (864825845292).

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

315361382400 is a wasteful number, since it uses less digits than its factorization.

315361382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 315361382400 in words is "three hundred fifteen billion, three hundred sixty-one million, three hundred eighty-two thousand, four hundred".