473407816320000 has 1320 divisors, whose sum is σ = 1724718377495256. Its totient is φ = 125023813632000.

The previous prime is 473407816319989. The next prime is 473407816320053. The reversal of 473407816320000 is 23618704374.

473407816320000 is a `hidden beast` number, since 4 + 7 + 3 + 4 + 0 + 7 + 8 + 1 + 632 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 452664091017216 + 20743725302784 = 21275904^2 + 4554528^2 .

It is a super-2 number, since 2×473407816320000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 285701759172 + ... + 285701760828.

Almost surely, 2^{473407816320000} is an apocalyptic number.

473407816320000 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 473407816320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862359188747628).

473407816320000 is an abundant number, since it is smaller than the sum of its proper divisors (1251310561175256).

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

473407816320000 is a wasteful number, since it uses less digits than its factorization.

473407816320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 473407816320000 in words is "four hundred seventy-three trillion, four hundred seven billion, eight hundred sixteen million, three hundred twenty thousand".