412624025664400 has 240 divisors, whose sum is σ = 1102175662992768. Its totient is φ = 147171188736000.

The previous prime is 412624025664371. The next prime is 412624025664439. The reversal of 412624025664400 is 4466520426214.

It is a super-2 number, since 2×412624025664400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805916485 + ... + 806428315.

Almost surely, 2^{412624025664400} is an apocalyptic number.

412624025664400 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 412624025664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551087831496384).

412624025664400 is an abundant number, since it is smaller than the sum of its proper divisors (689551637328368).

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

412624025664400 is a wasteful number, since it uses less digits than its factorization.

412624025664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515370 (or 515359 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 412624025664400 in words is "four hundred twelve trillion, six hundred twenty-four billion, twenty-five million, six hundred sixty-four thousand, four hundred".