412793235292032 has 192 divisors, whose sum is σ = 1401341091471360. Its totient is φ = 114136378352640.

The previous prime is 412793235292019. The next prime is 412793235292033. The reversal of 412793235292032 is 230292532397214.

412793235292032 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 93 + 2 + 3 + 529 + 20 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 412793235292032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412793235292033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 825389328 + ... + 825889295.

It is an arithmetic number, because the mean of its divisors is an integer number (7298651518080).

Almost surely, 2^{412793235292032} is an apocalyptic number.

412793235292032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

412793235292032 is an abundant number, since it is smaller than the sum of its proper divisors (988547856179328).

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

412793235292032 is a wasteful number, since it uses less digits than its factorization.

412793235292032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651278681 (or 1651278666 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 412793235292032 in words is "four hundred twelve trillion, seven hundred ninety-three billion, two hundred thirty-five million, two hundred ninety-two thousand, thirty-two".