41028586116768 has 168 divisors, whose sum is σ = 121160116107828. Its totient is φ = 13670213225472.

The previous prime is 41028586116751. The next prime is 41028586116797. The reversal of 41028586116768 is 86761168582014.

It is a happy number.

41028586116768 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 8 + 5 + 8 + 611 + 6 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41014956021264 + 13630095504 = 6404292^2 + 116748^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 53107596 + ... + 53874612.

Almost surely, 2^{41028586116768} is an apocalyptic number.

41028586116768 is a gapful number since it is divisible by the number (48) 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 41028586116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60580058053914).

41028586116768 is an abundant number, since it is smaller than the sum of its proper divisors (80131529991060).

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

41028586116768 is an equidigital number, since it uses as much as digits as its factorization.

41028586116768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769338 (or 769315 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 41028586116768 in words is "forty-one trillion, twenty-eight billion, five hundred eighty-six million, one hundred sixteen thousand, seven hundred sixty-eight".