470551704374400 has 1536 divisors, whose sum is σ = 1857591806515200. Its totient is φ = 103443185664000.

The previous prime is 470551704374399. The next prime is 470551704374429. The reversal of 470551704374400 is 4473407155074.

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 191 ways as a sum of consecutive naturals, for example, 4359853237 + ... + 4359961163.

It is an arithmetic number, because the mean of its divisors is an integer number (1209369665700).

Almost surely, 2^{470551704374400} is an apocalyptic number.

470551704374400 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 470551704374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928795903257600).

470551704374400 is an abundant number, since it is smaller than the sum of its proper divisors (1387040102140800).

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

470551704374400 is a wasteful number, since it uses less digits than its factorization.

470551704374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108078 (or 108061 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 51.

The spelling of 470551704374400 in words is "four hundred seventy trillion, five hundred fifty-one billion, seven hundred four million, three hundred seventy-four thousand, four hundred".