472409872047360 has 2016 divisors, whose sum is σ = 1951102247270400. Its totient is φ = 108651358126080.

The previous prime is 472409872047343. The next prime is 472409872047361. The reversal of 472409872047360 is 63740278904274.

472409872047360 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 0 + 9 + 87 + 20 + 473 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472409872047361) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10905351781 + ... + 10905395099.

It is an arithmetic number, because the mean of its divisors is an integer number (967808654400).

Almost surely, 2^{472409872047360} is an apocalyptic number.

472409872047360 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 472409872047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975551123635200).

472409872047360 is an abundant number, since it is smaller than the sum of its proper divisors (1478692375223040).

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

472409872047360 is a wasteful number, since it uses less digits than its factorization.

472409872047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43431 (or 43402 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 472409872047360 in words is "four hundred seventy-two trillion, four hundred nine billion, eight hundred seventy-two million, forty-seven thousand, three hundred sixty".