41638116 has 48 divisors (see below), whose sum is σ = 105840000. Its totient is φ = 12663552.

The previous prime is 41638111. The next prime is 41638133. The reversal of 41638116 is 61183614.

It is not an unprimeable number, because it can be changed into a prime (41638111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12385 + ... + 15383.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 2^41638116 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 41638116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920000).

41638116 is an abundant number, since it is smaller than the sum of its proper divisors (64201884).

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

41638116 is a wasteful number, since it uses less digits than its factorization.

41638116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3106 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 41638116 is about 6452.7603395756. The cubic root of 41638116 is about 346.6014353760.

The spelling of 41638116 in words is "forty-one million, six hundred thirty-eight thousand, one hundred sixteen".