472968931910400 has 648 divisors, whose sum is σ = 1764940677566976. Its totient is φ = 120610615910400.

The previous prime is 472968931910399. The next prime is 472968931910429. The reversal of 472968931910400 is 4019139869274.

472968931910400 is a `hidden beast` number, since 4 + 72 + 9 + 68 + 93 + 1 + 9 + 10 + 400 = 666.

It is a super-2 number, since 2×472968931910400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5446209379 + ... + 5446296221.

Almost surely, 2^{472968931910400} is an apocalyptic number.

472968931910400 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 472968931910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882470338783488).

472968931910400 is an abundant number, since it is smaller than the sum of its proper divisors (1291971745656576).

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

472968931910400 is a wasteful number, since it uses less digits than its factorization.

472968931910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91009 (or 90987 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 472968931910400 in words is "four hundred seventy-two trillion, nine hundred sixty-eight billion, nine hundred thirty-one million, nine hundred ten thousand, four hundred".