411042295482336 has 384 divisors, whose sum is σ = 1402430851261440. Its totient is φ = 114674613387264.

The previous prime is 411042295482289. The next prime is 411042295482349. The reversal of 411042295482336 is 633284592240114.

411042295482336 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 4 + 229 + 5 + 4 + 82 + 336 = 666.

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 63 ways as a sum of consecutive naturals, for example, 861353496 + ... + 861830568.

It is an arithmetic number, because the mean of its divisors is an integer number (3652163675160).

Almost surely, 2^{411042295482336} 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 411042295482336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701215425630720).

411042295482336 is an abundant number, since it is smaller than the sum of its proper divisors (991388555779104).

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

411042295482336 is a wasteful number, since it uses less digits than its factorization.

411042295482336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480455 (or 480441 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 411042295482336 in words is "four hundred eleven trillion, forty-two billion, two hundred ninety-five million, four hundred eighty-two thousand, three hundred thirty-six".