41100114117 has 8 divisors (see below), whose sum is σ = 54801208000. Its totient is φ = 27399548160.

The previous prime is 41100114091. The next prime is 41100114161. The reversal of 41100114117 is 71141100114.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 41100114117 - 2⁸ = 41100113861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41100114093 and 41100114102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41100115117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116517 + ... + 309477.

It is an arithmetic number, because the mean of its divisors is an integer number (6850151000).

Almost surely, 2^41100114117 is an apocalyptic number.

It is an amenable number.

41100114117 is a deficient number, since it is larger than the sum of its proper divisors (13701093883).

41100114117 is a wasteful number, since it uses less digits than its factorization.

41100114117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263963.

The product of its (nonzero) digits is 112, while the sum is 21.

The spelling of 41100114117 in words is "forty-one billion, one hundred million, one hundred fourteen thousand, one hundred seventeen".