412481999462400 has 5376 divisors, whose sum is σ = 1925768605777920. Its totient is φ = 84391074201600.

The previous prime is 412481999462371. The next prime is 412481999462459. The reversal of 412481999462400 is 4264999184214.

412481999462400 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 81 + 9 + 9 + 94 + 62 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

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 383 ways as a sum of consecutive naturals, for example, 1489104691062 + ... + 1489104691338.

Almost surely, 2^{412481999462400} is an apocalyptic number.

412481999462400 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 412481999462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962884302888960).

412481999462400 is an abundant number, since it is smaller than the sum of its proper divisors (1513286606315520).

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

412481999462400 is a wasteful number, since it uses less digits than its factorization.

412481999462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 412481999462400 in words is "four hundred twelve trillion, four hundred eighty-one billion, nine hundred ninety-nine million, four hundred sixty-two thousand, four hundred".