41940 has 36 divisors (see below), whose sum is σ = 127764. Its totient is φ = 11136.

The previous prime is 41927. The next prime is 41941. The reversal of 41940 is 4914.

41940 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 30276 = 108^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and 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 41940.

It is not an unprimeable number, because it can be changed into a prime (41941) by changing a digit.

41940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

2⁴¹⁹⁴⁰ 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 41940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63882).

41940 is an abundant number, since it is smaller than the sum of its proper divisors (85824).

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

41940 is a wasteful number, since it uses less digits than its factorization.

41940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41940 is about 204.7925779905. The cubic root of 41940 is about 34.7437060526.

The spelling of 41940 in words is "forty-one thousand, nine hundred forty".