41083246541568 has 1152 divisors, whose sum is σ = 142993232363520. Its totient is φ = 10162915983360.

The previous prime is 41083246541509. The next prime is 41083246541581. The reversal of 41083246541568 is 86514564238014.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45295750971 + ... + 45295751877.

It is an arithmetic number, because the mean of its divisors is an integer number (124126069760).

Almost surely, 2^{41083246541568} is an apocalyptic number.

41083246541568 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 41083246541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71496616181760).

41083246541568 is an abundant number, since it is smaller than the sum of its proper divisors (101909985821952).

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

41083246541568 is a wasteful number, since it uses less digits than its factorization.

41083246541568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 41083246541568 in words is "forty-one trillion, eighty-three billion, two hundred forty-six million, five hundred forty-one thousand, five hundred sixty-eight".