471161664000 has 1280 divisors, whose sum is σ = 1890849692160. Its totient is φ = 115192627200.

The previous prime is 471161663977. The next prime is 471161664037. The reversal of 471161664000 is 466161174.

It is a happy number.

471161664000 is a `hidden beast` number, since 4 + 7 + 1 + 1 + 6 + 1 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1263167814 + ... + 1263168186.

It is an arithmetic number, because the mean of its divisors is an integer number (1477226322).

Almost surely, 2^471161664000 is an apocalyptic number.

471161664000 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 471161664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945424846080).

471161664000 is an abundant number, since it is smaller than the sum of its proper divisors (1419688028160).

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

471161664000 is a wasteful number, since it uses less digits than its factorization.

471161664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 471161664000 in words is "four hundred seventy-one billion, one hundred sixty-one million, six hundred sixty-four thousand".