315322125424000 has 512 divisors, whose sum is σ = 808967098368000. Its totient is φ = 122165679513600.

The previous prime is 315322125423989. The next prime is 315322125424093. The reversal of 315322125424000 is 424521223513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89099214231 + ... + 89099217769.

It is an arithmetic number, because the mean of its divisors is an integer number (1580013864000).

Almost surely, 2^{315322125424000} 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 315322125424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404483549184000).

315322125424000 is an abundant number, since it is smaller than the sum of its proper divisors (493644972944000).

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

315322125424000 is a wasteful number, since it uses less digits than its factorization.

315322125424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 315322125424000 its reverse (424521223513), we get a palindrome (315746646647513).

The spelling of 315322125424000 in words is "three hundred fifteen trillion, three hundred twenty-two billion, one hundred twenty-five million, four hundred twenty-four thousand".