412886621260800 has 2376 divisors, whose sum is σ = 1596757383486720. Its totient is φ = 101896239513600.

The previous prime is 412886621260783. The next prime is 412886621260811. The reversal of 412886621260800 is 8062126688214.

412886621260800 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 8 + 6 + 6 + 21 + 2 + 608 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 820848153349 + ... + 820848153851.

Almost surely, 2^{412886621260800} is an apocalyptic number.

412886621260800 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 412886621260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798378691743360).

412886621260800 is an abundant number, since it is smaller than the sum of its proper divisors (1183870762225920).

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

412886621260800 is a wasteful number, since it uses less digits than its factorization.

412886621260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 412886621260800 in words is "four hundred twelve trillion, eight hundred eighty-six billion, six hundred twenty-one million, two hundred sixty thousand, eight hundred".