412338564126720 has 5184 divisors, whose sum is σ = 1996047364147200. Its totient is φ = 81116046950400.

The previous prime is 412338564126689. The next prime is 412338564126787. The reversal of 412338564126720 is 27621465833214.

412338564126720 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 3 + 8 + 564 + 1 + 2 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 280311735585 + ... + 280311737055.

It is an arithmetic number, because the mean of its divisors is an integer number (385040000800).

Almost surely, 2^{412338564126720} is an apocalyptic number.

412338564126720 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 412338564126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998023682073600).

412338564126720 is an abundant number, since it is smaller than the sum of its proper divisors (1583708800020480).

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

412338564126720 is a wasteful number, since it uses less digits than its factorization.

412338564126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 412338564126720 in words is "four hundred twelve trillion, three hundred thirty-eight billion, five hundred sixty-four million, one hundred twenty-six thousand, seven hundred twenty".