41880 has 32 divisors (see below), whose sum is σ = 126000. Its totient is φ = 11136.

The previous prime is 41879. The next prime is 41887. The reversal of 41880 is 8814.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41880.

It is not an unprimeable number, because it can be changed into a prime (41887) 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, 55 + ... + 294.

2⁴¹⁸⁸⁰ is an apocalyptic number.

41880 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 41880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63000).

41880 is an abundant number, since it is smaller than the sum of its proper divisors (84120).

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

41880 is a wasteful number, since it uses less digits than its factorization.

41880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 41880 is about 204.6460358766. The cubic root of 41880 is about 34.7271298545.

The spelling of 41880 in words is "forty-one thousand, eight hundred eighty".