410991602112 has 336 divisors, whose sum is σ = 1462738979520. Its totient is φ = 107432607744.

The previous prime is 410991602071. The next prime is 410991602207. The reversal of 410991602112 is 211206199014.

It is a happy number.

410991602112 is a `hidden beast` number, since 41 + 0 + 9 + 9 + 1 + 602 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5888314 + ... + 5957702.

It is an arithmetic number, because the mean of its divisors is an integer number (4353389820).

Almost surely, 2^410991602112 is an apocalyptic number.

410991602112 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 410991602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731369489760).

410991602112 is an abundant number, since it is smaller than the sum of its proper divisors (1051747377408).

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

410991602112 is a wasteful number, since it uses less digits than its factorization.

410991602112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69540 (or 69527 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 410991602112 in words is "four hundred ten billion, nine hundred ninety-one million, six hundred two thousand, one hundred twelve".