41180 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 15680.

The previous prime is 41179. The next prime is 41183. The reversal of 41180 is 8114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁴¹¹⁸⁰ 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 41180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

41180 is an abundant number, since it is smaller than the sum of its proper divisors (49540).

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

41180 is a wasteful number, since it uses less digits than its factorization.

41180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 41180 is about 202.9285588575. The cubic root of 41180 is about 34.5325604527.

Adding to 41180 its reverse (8114), we get a palindrome (49294).

The spelling of 41180 in words is "forty-one thousand, one hundred eighty".