315141404400 has 180 divisors, whose sum is σ = 1094184113568. Its totient is φ = 83994992640.

The previous prime is 315141404377. The next prime is 315141404401. The reversal of 315141404400 is 4404141513.

315141404400 is a `hidden beast` number, since 3 + 1 + 514 + 140 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315141404401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7405584 + ... + 7448016.

Almost surely, 2^315141404400 is an apocalyptic number.

315141404400 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 315141404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547092056784).

315141404400 is an abundant number, since it is smaller than the sum of its proper divisors (779042709168).

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

315141404400 is a wasteful number, since it uses less digits than its factorization.

315141404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44520 (or 44506 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 315141404400 its reverse (4404141513), we get a palindrome (319545545913).

The spelling of 315141404400 in words is "three hundred fifteen billion, one hundred forty-one million, four hundred four thousand, four hundred".