315555004454400 has 480 divisors, whose sum is σ = 1158425068014720. Its totient is φ = 84134574858240.

The previous prime is 315555004454311. The next prime is 315555004454479. The reversal of 315555004454400 is 4454400555513.

315555004454400 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 550 + 0 + 4 + 4 + 54 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2268103239 + ... + 2268242361.

It is an arithmetic number, because the mean of its divisors is an integer number (2413385558364).

Almost surely, 2^{315555004454400} is an apocalyptic number.

315555004454400 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 315555004454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579212534007360).

315555004454400 is an abundant number, since it is smaller than the sum of its proper divisors (842870063560320).

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

315555004454400 is a wasteful number, since it uses less digits than its factorization.

315555004454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145723 (or 145696 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 315555004454400 in words is "three hundred fifteen trillion, five hundred fifty-five billion, four million, four hundred fifty-four thousand, four hundred".