412538247414720 has 672 divisors, whose sum is σ = 1666365399369216. Its totient is φ = 91698125414400.

The previous prime is 412538247414719. The next prime is 412538247414731. The reversal of 412538247414720 is 27414742835214.

412538247414720 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 3 + 8 + 2 + 474 + 147 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1440228315 + ... + 1440514725.

It is an arithmetic number, because the mean of its divisors is an integer number (2479710415728).

Almost surely, 2^{412538247414720} is an apocalyptic number.

412538247414720 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 412538247414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833182699684608).

412538247414720 is an abundant number, since it is smaller than the sum of its proper divisors (1253827151954496).

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

412538247414720 is a wasteful number, since it uses less digits than its factorization.

412538247414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288409 (or 288396 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 412538247414720 in words is "four hundred twelve trillion, five hundred thirty-eight billion, two hundred forty-seven million, four hundred fourteen thousand, seven hundred twenty".