472021716418560 has 3600 divisors, whose sum is σ = 2159822840491008. Its totient is φ = 97519848652800.

The previous prime is 472021716418547. The next prime is 472021716418601. The reversal of 472021716418560 is 65814617120274.

It is a happy number.

472021716418560 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 2 + 1 + 7 + 1 + 64 + 18 + 560 = 666.

It is a super-2 number, since 2×472021716418560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 472021716418497 and 472021716418506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 969243770637 + ... + 969243771123.

Almost surely, 2^{472021716418560} is an apocalyptic number.

472021716418560 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 472021716418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079911420245504).

472021716418560 is an abundant number, since it is smaller than the sum of its proper divisors (1687801124072448).

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

472021716418560 is a wasteful number, since it uses less digits than its factorization.

472021716418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 472021716418560 in words is "four hundred seventy-two trillion, twenty-one billion, seven hundred sixteen million, four hundred eighteen thousand, five hundred sixty".