412862975078400 has 6552 divisors, whose sum is σ = 2016800523790848. Its totient is φ = 82771476480000.

The previous prime is 412862975078371. The next prime is 412862975078419. The reversal of 412862975078400 is 4870579268214.

It is a happy number.

412862975078400 is a `hidden beast` number, since 4 + 1 + 2 + 86 + 2 + 9 + 7 + 507 + 8 + 40 + 0 = 666.

It is a super-2 number, since 2×412862975078400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1247320166235 + ... + 1247320166565.

Almost surely, 2^{412862975078400} is an apocalyptic number.

412862975078400 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 412862975078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008400261895424).

412862975078400 is an abundant number, since it is smaller than the sum of its proper divisors (1603937548712448).

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

412862975078400 is a wasteful number, since it uses less digits than its factorization.

412862975078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 412862975078400 in words is "four hundred twelve trillion, eight hundred sixty-two billion, nine hundred seventy-five million, seventy-eight thousand, four hundred".