411055782912 has 792 divisors, whose sum is σ = 1348877527920. Its totient is φ = 124694691840.

The previous prime is 411055782911. The next prime is 411055782941. The reversal of 411055782912 is 219287550114.

411055782912 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 557 + 8 + 2 + 91 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411055782911) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6738619362 + ... + 6738619422.

Almost surely, 2^411055782912 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 411055782912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674438763960).

411055782912 is an abundant number, since it is smaller than the sum of its proper divisors (937821745008).

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

411055782912 is an frugal number, since it uses more digits than its factorization.

411055782912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 411055782912 in words is "four hundred eleven billion, fifty-five million, seven hundred eighty-two thousand, nine hundred twelve".