412291259452800 has 4608 divisors, whose sum is σ = 1990579273344000. Its totient is φ = 82379118182400.

The previous prime is 412291259452757. The next prime is 412291259452817. The reversal of 412291259452800 is 8254952192214.

It is a happy number.

412291259452800 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 9 + 1 + 25 + 94 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 157303035490 + ... + 157303038110.

It is an arithmetic number, because the mean of its divisors is an integer number (431983349250).

Almost surely, 2^{412291259452800} is an apocalyptic number.

412291259452800 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 412291259452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995289636672000).

412291259452800 is an abundant number, since it is smaller than the sum of its proper divisors (1578288013891200).

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

412291259452800 is a wasteful number, since it uses less digits than its factorization.

412291259452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 412291259452800 in words is "four hundred twelve trillion, two hundred ninety-one billion, two hundred fifty-nine million, four hundred fifty-two thousand, eight hundred".