41165952 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 12739584.

The previous prime is 41165947. The next prime is 41165953. The reversal of 41165952 is 25956114.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (41165953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521049 + ... + 521127.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^41165952 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 41165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

41165952 is an abundant number, since it is smaller than the sum of its proper divisors (76338048).

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

41165952 is a wasteful number, since it uses less digits than its factorization.

41165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 41165952 is about 6416.0698250565. The cubic root of 41165952 is about 345.2863323414.

The spelling of 41165952 in words is "forty-one million, one hundred sixty-five thousand, nine hundred fifty-two".