315140456800 has 288 divisors, whose sum is σ = 840215285280. Its totient is φ = 114728140800.

The previous prime is 315140456773. The next prime is 315140456837. The reversal of 315140456800 is 8654041513.

It is a happy number.

It is a super-2 number, since 2×315140456800² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315140456800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269120215 + ... + 269121385.

It is an arithmetic number, because the mean of its divisors is an integer number (2917414185).

Almost surely, 2^315140456800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315140456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420107642640).

315140456800 is an abundant number, since it is smaller than the sum of its proper divisors (525074828480).

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

315140456800 is a wasteful number, since it uses less digits than its factorization.

315140456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 315140456800 in words is "three hundred fifteen billion, one hundred forty million, four hundred fifty-six thousand, eight hundred".