471108412800 has 288 divisors, whose sum is σ = 1720120853880. Its totient is φ = 122706984960.

The previous prime is 471108412783. The next prime is 471108412871. The reversal of 471108412800 is 8214801174.

471108412800 is a `hidden beast` number, since 471 + 108 + 4 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×471108412800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1048192 + ... + 1428608.

Almost surely, 2^471108412800 is an apocalyptic number.

471108412800 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 471108412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860060426940).

471108412800 is an abundant number, since it is smaller than the sum of its proper divisors (1249012441080).

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

471108412800 is a wasteful number, since it uses less digits than its factorization.

471108412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380490 (or 380470 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 471108412800 in words is "four hundred seventy-one billion, one hundred eight million, four hundred twelve thousand, eight hundred".