471413107872 has 480 divisors, whose sum is σ = 1684636652160. Its totient is φ = 126240768000.

The previous prime is 471413107829. The next prime is 471413107897. The reversal of 471413107872 is 278701314174.

471413107872 is a `hidden beast` number, since 471 + 4 + 1 + 3 + 107 + 8 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77417404 + ... + 77423492.

It is an arithmetic number, because the mean of its divisors is an integer number (3509659692).

Almost surely, 2^471413107872 is an apocalyptic number.

471413107872 is a gapful number since it is divisible by the number (42) 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 471413107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842318326080).

471413107872 is an abundant number, since it is smaller than the sum of its proper divisors (1213223544288).

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

471413107872 is a wasteful number, since it uses less digits than its factorization.

471413107872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 471413107872 in words is "four hundred seventy-one billion, four hundred thirteen million, one hundred seven thousand, eight hundred seventy-two".