41072434883568 has 960 divisors, whose sum is σ = 140600500992000. Its totient is φ = 11582279216640.

The previous prime is 41072434883551. The next prime is 41072434883587. The reversal of 41072434883568 is 86538843427014.

41072434883568 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 24 + 3 + 48 + 8 + 3 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3603155533 + ... + 3603166931.

It is an arithmetic number, because the mean of its divisors is an integer number (146458855200).

Almost surely, 2^{41072434883568} is an apocalyptic number.

41072434883568 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 41072434883568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70300250496000).

41072434883568 is an abundant number, since it is smaller than the sum of its proper divisors (99528066108432).

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

41072434883568 is a wasteful number, since it uses less digits than its factorization.

41072434883568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 11475 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 41072434883568 in words is "forty-one trillion, seventy-two billion, four hundred thirty-four million, eight hundred eighty-three thousand, five hundred sixty-eight".