41644116 has 72 divisors (see below), whose sum is σ = 110171880. Its totient is φ = 13246464.

The previous prime is 41644073. The next prime is 41644117. The reversal of 41644116 is 61144614.

41644116 is a `hidden beast` number, since 4 + 1 + 644 + 1 + 16 = 666.

41644116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 41602500 = 204^2 + 6450^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41644116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41644117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117796 + ... + 118148.

It is an arithmetic number, because the mean of its divisors is an integer number (1530165).

Almost surely, 2^41644116 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 41644116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55085940).

41644116 is an abundant number, since it is smaller than the sum of its proper divisors (68527764).

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

41644116 is a wasteful number, since it uses less digits than its factorization.

41644116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 41644116 is about 6453.2252401416. The cubic root of 41644116 is about 346.6180828529.

The spelling of 41644116 in words is "forty-one million, six hundred forty-four thousand, one hundred sixteen".