41159986560 has 1536 divisors, whose sum is σ = 193021470720. Its totient is φ = 7821066240.

The previous prime is 41159986537. The next prime is 41159986579. The reversal of 41159986560 is 6568995114.

41159986560 is a `hidden beast` number, since 41 + 1 + 599 + 8 + 6 + 5 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 41159986497 and 41159986506.

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, 399611469 + ... + 399611571.

It is an arithmetic number, because the mean of its divisors is an integer number (125665020).

Almost surely, 2^41159986560 is an apocalyptic number.

41159986560 is a gapful number since it is divisible by the number (40) 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 41159986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96510735360).

41159986560 is an abundant number, since it is smaller than the sum of its proper divisors (151861484160).

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

41159986560 is a wasteful number, since it uses less digits than its factorization.

41159986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 41159986560 in words is "forty-one billion, one hundred fifty-nine million, nine hundred eighty-six thousand, five hundred sixty".