412627107916800 has 1056 divisors, whose sum is σ = 1761104149977600. Its totient is φ = 92716147998720.

The previous prime is 412627107916769. The next prime is 412627107916801. The reversal of 412627107916800 is 8619701726214.

412627107916800 is a `hidden beast` number, since 4 + 1 + 2 + 627 + 1 + 0 + 7 + 9 + 1 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×412627107916800² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (412627107916801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284742874 + ... + 286188326.

Almost surely, 2^{412627107916800} is an apocalyptic number.

412627107916800 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 412627107916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880552074988800).

412627107916800 is an abundant number, since it is smaller than the sum of its proper divisors (1348477042060800).

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

412627107916800 is a wasteful number, since it uses less digits than its factorization.

412627107916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445558 (or 1445529 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 412627107916800 in words is "four hundred twelve trillion, six hundred twenty-seven billion, one hundred seven million, nine hundred sixteen thousand, eight hundred".