41005765516716 has 864 divisors, whose sum is σ = 147934480232448. Its totient is φ = 9396510520320.

The previous prime is 41005765516699. The next prime is 41005765516769. The reversal of 41005765516716 is 61761556750014.

41005765516716 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 5 + 76 + 551 + 6 + 7 + 16 = 666.

41005765516716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41005765516716² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10576672170 + ... + 10576676046.

It is an arithmetic number, because the mean of its divisors is an integer number (171220463232).

Almost surely, 2^{41005765516716} is an apocalyptic number.

41005765516716 is a gapful number since it is divisible by the number (46) 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 41005765516716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73967240116224).

41005765516716 is an abundant number, since it is smaller than the sum of its proper divisors (106928714715732).

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

41005765516716 is a wasteful number, since it uses less digits than its factorization.

41005765516716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5771 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 41005765516716 in words is "forty-one trillion, five billion, seven hundred sixty-five million, five hundred sixteen thousand, seven hundred sixteen".