412298973682272 has 72 divisors (see below), whose sum is σ = 1176476828514624. Its totient is φ = 136963936621824.

The previous prime is 412298973682243. The next prime is 412298973682289. The reversal of 412298973682272 is 272286379892214.

412298973682272 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 98 + 97 + 368 + 22 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 412298973682272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2442908208 + ... + 2443076975.

It is an arithmetic number, because the mean of its divisors is an integer number (16339955951592).

Almost surely, 2^{412298973682272} is an apocalyptic number.

It is an amenable number.

412298973682272 is an abundant number, since it is smaller than the sum of its proper divisors (764177854832352).

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

412298973682272 is a wasteful number, since it uses less digits than its factorization.

412298973682272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885985492 (or 4885985481 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 412298973682272 in words is "four hundred twelve trillion, two hundred ninety-eight billion, nine hundred seventy-three million, six hundred eighty-two thousand, two hundred seventy-two".