41080 has 32 divisors (see below), whose sum is σ = 100800. Its totient is φ = 14976.

The previous prime is 41077. The next prime is 41081. The reversal of 41080 is 8014.

41080 = T₂₅ + T₂₆ + ... + T₆₃.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 41080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2⁴¹⁰⁸⁰ is an apocalyptic number.

41080 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 41080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50400).

41080 is an abundant number, since it is smaller than the sum of its proper divisors (59720).

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

41080 is a wasteful number, since it uses less digits than its factorization.

41080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 41080 is about 202.6820169625. The cubic root of 41080 is about 34.5045852619.

41080 divided by its sum of digits (13) gives a triangular number (3160 = T₇₉).

Adding to 41080 its reverse (8014), we get a palindrome (49094).

The spelling of 41080 in words is "forty-one thousand, eighty".