41127058560 has 256 divisors, whose sum is σ = 150029107200. Its totient is φ = 9387356160.

The previous prime is 41127058537. The next prime is 41127058591. The reversal of 41127058560 is 6585072114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12242161 + ... + 12245519.

It is an arithmetic number, because the mean of its divisors is an integer number (586051200).

Almost surely, 2^41127058560 is an apocalyptic number.

41127058560 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 41127058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75014553600).

41127058560 is an abundant number, since it is smaller than the sum of its proper divisors (108902048640).

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

41127058560 is a wasteful number, since it uses less digits than its factorization.

41127058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 41127058560 in words is "forty-one billion, one hundred twenty-seven million, fifty-eight thousand, five hundred sixty".