412790112000 has 648 divisors, whose sum is σ = 1727902652112. Its totient is φ = 94348800000.

The previous prime is 412790111983. The next prime is 412790112017. The reversal of 412790112000 is 211097214.

It is an interprime number because it is at equal distance from previous prime (412790111983) and next prime (412790112017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14097375 + ... + 14126625.

Almost surely, 2^412790112000 is an apocalyptic number.

412790112000 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 412790112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863951326056).

412790112000 is an abundant number, since it is smaller than the sum of its proper divisors (1315112540112).

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

412790112000 is a wasteful number, since it uses less digits than its factorization.

412790112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29302 (or 29268 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 412790112000 in words is "four hundred twelve billion, seven hundred ninety million, one hundred twelve thousand".