472419402656256 has 360 divisors, whose sum is σ = 1533503442831360. Its totient is φ = 139828145909760.

The previous prime is 472419402656191. The next prime is 472419402656293. The reversal of 472419402656256 is 652656204914274.

472419402656256 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 1 + 9 + 40 + 26 + 562 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 472419402656193 and 472419402656202.

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 35 ways as a sum of consecutive naturals, for example, 14123265 + ... + 33827583.

Almost surely, 2^{472419402656256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472419402656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766751721415680).

472419402656256 is an abundant number, since it is smaller than the sum of its proper divisors (1061084040175104).

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

472419402656256 is a wasteful number, since it uses less digits than its factorization.

472419402656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19704408 (or 19704378 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 472419402656256 in words is "four hundred seventy-two trillion, four hundred nineteen billion, four hundred two million, six hundred fifty-six thousand, two hundred fifty-six".