472120937280 has 896 divisors, whose sum is σ = 1835529984000. Its totient is φ = 113706270720.

The previous prime is 472120937273. The next prime is 472120937291. The reversal of 472120937280 is 82739021274.

472120937280 is a `hidden beast` number, since 4 + 72 + 1 + 209 + 372 + 8 + 0 = 666.

472120937280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1154329716 + ... + 1154330124.

Almost surely, 2^472120937280 is an apocalyptic number.

472120937280 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 472120937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917764992000).

472120937280 is an abundant number, since it is smaller than the sum of its proper divisors (1363409046720).

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

472120937280 is a wasteful number, since it uses less digits than its factorization.

472120937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 472120937280 in words is "four hundred seventy-two billion, one hundred twenty million, nine hundred thirty-seven thousand, two hundred eighty".