41840584968 has 256 divisors, whose sum is σ = 133561612800. Its totient is φ = 10623836160.

The previous prime is 41840584967. The next prime is 41840584979. The reversal of 41840584968 is 86948504814.

It is a happy number.

It is a super-2 number, since 2×41840584968² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41840584967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29197180 + ... + 29198612.

It is an arithmetic number, because the mean of its divisors is an integer number (521725050).

Almost surely, 2^41840584968 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 41840584968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66780806400).

41840584968 is an abundant number, since it is smaller than the sum of its proper divisors (91721027832).

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

41840584968 is a wasteful number, since it uses less digits than its factorization.

41840584968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 41840584968 in words is "forty-one billion, eight hundred forty million, five hundred eighty-four thousand, nine hundred sixty-eight".