411968336563584 has 640 divisors, whose sum is σ = 1268398864465920. Its totient is φ = 132661949091840.

The previous prime is 411968336563573. The next prime is 411968336563591. The reversal of 411968336563584 is 485365633869114.

411968336563584 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 6 + 8 + 3 + 3 + 6 + 563 + 58 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12191641729 + ... + 12191675519.

It is an arithmetic number, because the mean of its divisors is an integer number (1981873225728).

Almost surely, 2^{411968336563584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411968336563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634199432232960).

411968336563584 is an abundant number, since it is smaller than the sum of its proper divisors (856430527902336).

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

411968336563584 is a wasteful number, since it uses less digits than its factorization.

411968336563584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34188 (or 34167 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 72.

The spelling of 411968336563584 in words is "four hundred eleven trillion, nine hundred sixty-eight billion, three hundred thirty-six million, five hundred sixty-three thousand, five hundred eighty-four".