411917811056640 has 2304 divisors, whose sum is σ = 1806206709565440. Its totient is φ = 86918729564160.

The previous prime is 411917811056611. The next prime is 411917811056651. The reversal of 411917811056640 is 46650118719114.

411917811056640 is a `hidden beast` number, since 4 + 1 + 1 + 9 + 1 + 78 + 1 + 1 + 0 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 127 ways as a sum of consecutive naturals, for example, 111600597195 + ... + 111600600885.

It is an arithmetic number, because the mean of its divisors is an integer number (783943884360).

Almost surely, 2^{411917811056640} is an apocalyptic number.

411917811056640 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 411917811056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903103354782720).

411917811056640 is an abundant number, since it is smaller than the sum of its proper divisors (1394288898508800).

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

411917811056640 is an equidigital number, since it uses as much as digits as its factorization.

411917811056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 411917811056640 in words is "four hundred eleven trillion, nine hundred seventeen billion, eight hundred eleven million, fifty-six thousand, six hundred forty".