411180561792 has 640 divisors, whose sum is σ = 1643006534400. Its totient is φ = 98582261760.

The previous prime is 411180561763. The next prime is 411180561793. The reversal of 411180561792 is 297165081114.

411180561792 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 80 + 561 + 7 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411180561793) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10358559 + ... + 10398177.

It is an arithmetic number, because the mean of its divisors is an integer number (2567197710).

Almost surely, 2^411180561792 is an apocalyptic number.

411180561792 is a gapful number since it is divisible by the number (42) 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 411180561792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821503267200).

411180561792 is an abundant number, since it is smaller than the sum of its proper divisors (1231825972608).

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

411180561792 is a wasteful number, since it uses less digits than its factorization.

411180561792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39676 (or 39655 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 411180561792 in words is "four hundred eleven billion, one hundred eighty million, five hundred sixty-one thousand, seven hundred ninety-two".