41157929588100 has 216 divisors, whose sum is σ = 129075230219040. Its totient is φ = 10121227683840.

The previous prime is 41157929588071. The next prime is 41157929588123. The reversal of 41157929588100 is 188592975114.

It is a super-2 number, since 2×41157929588100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51264972 + ... + 52061628.

Almost surely, 2^{41157929588100} 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 41157929588100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64537615109520).

41157929588100 is an abundant number, since it is smaller than the sum of its proper divisors (87917300630940).

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

41157929588100 is a wasteful number, since it uses less digits than its factorization.

41157929588100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797719 (or 797699 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 60.

The spelling of 41157929588100 in words is "forty-one trillion, one hundred fifty-seven billion, nine hundred twenty-nine million, five hundred eighty-eight thousand, one hundred".