412426100736 has 336 divisors, whose sum is σ = 1330628046384. Its totient is φ = 126892376064.

The previous prime is 412426100729. The next prime is 412426100743. The reversal of 412426100736 is 637001624214.

412426100736 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 2 + 610 + 0 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (412426100729) and next prime (412426100743).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 412426100736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25870560 + ... + 25886496.

It is an arithmetic number, because the mean of its divisors is an integer number (3960202519).

Almost surely, 2^412426100736 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 412426100736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665314023192).

412426100736 is an abundant number, since it is smaller than the sum of its proper divisors (918201945648).

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

412426100736 is an equidigital number, since it uses as much as digits as its factorization.

412426100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15991 (or 15955 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 412426100736 in words is "four hundred twelve billion, four hundred twenty-six million, one hundred thousand, seven hundred thirty-six".