41088096 has 144 divisors (see below), whose sum is σ = 135626400. Its totient is φ = 11556864.

The previous prime is 41088083. The next prime is 41088121. The reversal of 41088096 is 69088014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41088096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179310 + ... + 179538.

It is an arithmetic number, because the mean of its divisors is an integer number (941850).

Almost surely, 2^41088096 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 41088096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67813200).

41088096 is an abundant number, since it is smaller than the sum of its proper divisors (94538304).

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

41088096 is a wasteful number, since it uses less digits than its factorization.

41088096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 41088096 is about 6409.9996879875. Note that the first 3 decimals coincide. The cubic root of 41088096 is about 345.0685182122.

The spelling of 41088096 in words is "forty-one million, eighty-eight thousand, ninety-six".