471070672800 has 864 divisors, whose sum is σ = 2004547450752. Its totient is φ = 95062302720.

The previous prime is 471070672789. The next prime is 471070672817. The reversal of 471070672800 is 8276070174.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35155702 + ... + 35169098.

It is an arithmetic number, because the mean of its divisors is an integer number (2320078068).

Almost surely, 2^471070672800 is an apocalyptic number.

471070672800 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 471070672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002273725376).

471070672800 is an abundant number, since it is smaller than the sum of its proper divisors (1533476777952).

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

471070672800 is a wasteful number, since it uses less digits than its factorization.

471070672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13470 (or 13450 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 471070672800 in words is "four hundred seventy-one billion, seventy million, six hundred seventy-two thousand, eight hundred".