315030032442400 has 72 divisors (see below), whose sum is σ = 838982254605264. Its totient is φ = 114556375430400.

The previous prime is 315030032442397. The next prime is 315030032442409. The reversal of 315030032442400 is 4244230030513.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (315030032442409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17899424862 + ... + 17899442461.

It is an arithmetic number, because the mean of its divisors is an integer number (11652531313962).

Almost surely, 2^{315030032442400} is an apocalyptic number.

It is an amenable number.

315030032442400 is an abundant number, since it is smaller than the sum of its proper divisors (523952222162864).

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

315030032442400 is a wasteful number, since it uses less digits than its factorization.

315030032442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35798867354 (or 35798867341 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 315030032442400 its reverse (4244230030513), we get a palindrome (319274262472913).

The spelling of 315030032442400 in words is "three hundred fifteen trillion, thirty billion, thirty-two million, four hundred forty-two thousand, four hundred".