412302040800 has 576 divisors, whose sum is σ = 1501390779840. Its totient is φ = 97612922880.

The previous prime is 412302040793. The next prime is 412302040849. The reversal of 412302040800 is 8040203214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102739594 + ... + 102743606.

It is an arithmetic number, because the mean of its divisors is an integer number (2606581215).

Almost surely, 2^412302040800 is an apocalyptic number.

412302040800 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 412302040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750695389920).

412302040800 is an abundant number, since it is smaller than the sum of its proper divisors (1089088739040).

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

412302040800 is a wasteful number, since it uses less digits than its factorization.

412302040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 412302040800 in words is "four hundred twelve billion, three hundred two million, forty thousand, eight hundred".