41180120 has 64 divisors (see below), whose sum is σ = 102409920. Its totient is φ = 14823424.

The previous prime is 41180077. The next prime is 41180123. The reversal of 41180120 is 2108114.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41180123) 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, 14324 + ... + 16956.

It is an arithmetic number, because the mean of its divisors is an integer number (1600155).

Almost surely, 2^41180120 is an apocalyptic number.

41180120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41180120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51204960).

41180120 is an abundant number, since it is smaller than the sum of its proper divisors (61229800).

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

41180120 is a wasteful number, since it uses less digits than its factorization.

41180120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 41180120 is about 6417.1738327709. The cubic root of 41180120 is about 345.3259399572.

Adding to 41180120 its reverse (2108114), we get a palindrome (43288234).

The spelling of 41180120 in words is "forty-one million, one hundred eighty thousand, one hundred twenty".