41088 has 32 divisors (see below), whose sum is σ = 110160. Its totient is φ = 13568.

The previous prime is 41081. The next prime is 41113. The reversal of 41088 is 88014.

It is a tau number, because it is divible by the number of its divisors (32).

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

41088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331 + ... + 437.

2⁴¹⁰⁸⁸ is an apocalyptic number.

41088 is a gapful number since it is divisible by the number (48) 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 41088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080).

41088 is an abundant number, since it is smaller than the sum of its proper divisors (69072).

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

41088 is a wasteful number, since it uses less digits than its factorization.

41088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

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

The square root of 41088 is about 202.7017513491. The cubic root of 41088 is about 34.5068249468.

The spelling of 41088 in words is "forty-one thousand, eighty-eight".