41116635 has 72 divisors (see below), whose sum is σ = 85896720. Its totient is φ = 18119808.

The previous prime is 41116609. The next prime is 41116637. The reversal of 41116635 is 53661114.

41116635 is a `hidden beast` number, since 4 + 11 + 16 + 635 = 666.

It is not a de Polignac number, because 41116635 - 2⁷ = 41116507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41116599 and 41116608.

It is not an unprimeable number, because it can be changed into a prime (41116637) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63624 + ... + 64266.

It is an arithmetic number, because the mean of its divisors is an integer number (1193010).

Almost surely, 2^41116635 is an apocalyptic number.

41116635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41116635 is an abundant number, since it is smaller than the sum of its proper divisors (44780085).

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

41116635 is a wasteful number, since it uses less digits than its factorization.

41116635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 41116635 is about 6412.2254327183. The cubic root of 41116635 is about 345.1483923706.

Adding to 41116635 its reverse (53661114), we get a palindrome (94777749).

The spelling of 41116635 in words is "forty-one million, one hundred sixteen thousand, six hundred thirty-five".