201255413918400 has 672 divisors, whose sum is σ = 765826298265600. Its totient is φ = 51353290137600.

The previous prime is 201255413918399. The next prime is 201255413918413. The reversal of 201255413918400 is 4819314552102.

201255413918400 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 55 + 413 + 9 + 184 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118344529 + ... + 120033071.

Almost surely, 2^{201255413918400} is an apocalyptic number.

201255413918400 is a gapful number since it is divisible by the number (20) 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 201255413918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382913149132800).

201255413918400 is an abundant number, since it is smaller than the sum of its proper divisors (564570884347200).

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

201255413918400 is a wasteful number, since it uses less digits than its factorization.

201255413918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688694 (or 1688673 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 201255413918400 in words is "two hundred one trillion, two hundred fifty-five billion, four hundred thirteen million, nine hundred eighteen thousand, four hundred".