41618412117 has 80 divisors (see below), whose sum is σ = 68438684160. Its totient is φ = 25087110048.

The previous prime is 41618412083. The next prime is 41618412137. The reversal of 41618412117 is 71121481614.

It is a happy number.

41618412117 is a `hidden beast` number, since 4 + 1 + 618 + 4 + 1 + 21 + 17 = 666.

It is not a de Polignac number, because 41618412117 - 2¹⁵ = 41618379349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41618412137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20777038 + ... + 20779040.

It is an arithmetic number, because the mean of its divisors is an integer number (855483552).

Almost surely, 2^41618412117 is an apocalyptic number.

It is an amenable number.

41618412117 is a deficient number, since it is larger than the sum of its proper divisors (26820272043).

41618412117 is a wasteful number, since it uses less digits than its factorization.

41618412117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2635 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The spelling of 41618412117 in words is "forty-one billion, six hundred eighteen million, four hundred twelve thousand, one hundred seventeen".