472611577057400 has 192 divisors, whose sum is σ = 1205419283228160. Its totient is φ = 170897670720000.

The previous prime is 472611577057357. The next prime is 472611577057481. The reversal of 472611577057400 is 4750775116274.

It is a happy number.

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, 7743764885 + ... + 7743825915.

It is an arithmetic number, because the mean of its divisors is an integer number (6278225433480).

Almost surely, 2^{472611577057400} is an apocalyptic number.

472611577057400 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 472611577057400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602709641614080).

472611577057400 is an abundant number, since it is smaller than the sum of its proper divisors (732807706170760).

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

472611577057400 is a wasteful number, since it uses less digits than its factorization.

472611577057400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80686 (or 80677 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 56.

The spelling of 472611577057400 in words is "four hundred seventy-two trillion, six hundred eleven billion, five hundred seventy-seven million, fifty-seven thousand, four hundred".