41888 has 48 divisors (see below), whose sum is σ = 108864. Its totient is φ = 15360.

The previous prime is 41887. The next prime is 41893. The reversal of 41888 is 88814.

41888 is nontrivially palindromic in base 3.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41888.

It is not an unprimeable number, because it can be changed into a prime (41887) 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, 2456 + ... + 2472.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2⁴¹⁸⁸⁸ 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 41888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

41888 is an abundant number, since it is smaller than the sum of its proper divisors (66976).

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

41888 is a wasteful number, since it uses less digits than its factorization.

41888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 37 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 41888 is about 204.6655808875. The cubic root of 41888 is about 34.7293409286.

It can be divided in two parts, 41 and 888, that added together give a palindrome (929).

The spelling of 41888 in words is "forty-one thousand, eight hundred eighty-eight".