472025271931200 has 4032 divisors, whose sum is σ = 2008808228044800. Its totient is φ = 104081847091200.

The previous prime is 472025271931123. The next prime is 472025271931223. The reversal of 472025271931200 is 2139172520274.

472025271931200 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 252 + 7 + 193 + 1 + 200 = 666.

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 575 ways as a sum of consecutive naturals, for example, 1010760753367 + ... + 1010760753833.

It is an arithmetic number, because the mean of its divisors is an integer number (498216326400).

Almost surely, 2^{472025271931200} is an apocalyptic number.

472025271931200 is a gapful number since it is divisible by the number (40) 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 472025271931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004404114022400).

472025271931200 is an abundant number, since it is smaller than the sum of its proper divisors (1536782956113600).

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

472025271931200 is a wasteful number, since it uses less digits than its factorization.

472025271931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 472025271931200 in words is "four hundred seventy-two trillion, twenty-five billion, two hundred seventy-one million, nine hundred thirty-one thousand, two hundred".