315454512042400 has 288 divisors, whose sum is σ = 819099650360880. Its totient is φ = 118221617233920.

The previous prime is 315454512042391. The next prime is 315454512042401. The reversal of 315454512042400 is 4240215454513.

It can be written as a sum of positive squares in 24 ways, for example, as 73971490046224 + 241483021996176 = 8600668^2 + 15539724^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (315454512042401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5623748754 + ... + 5623804846.

Almost surely, 2^{315454512042400} 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 315454512042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409549825180440).

315454512042400 is an abundant number, since it is smaller than the sum of its proper divisors (503645138318480).

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

315454512042400 is a wasteful number, since it uses less digits than its factorization.

315454512042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57996 (or 57983 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 315454512042400 its reverse (4240215454513), we get a palindrome (319694727496913).

The spelling of 315454512042400 in words is "three hundred fifteen trillion, four hundred fifty-four billion, five hundred twelve million, forty-two thousand, four hundred".