41265792 has 96 divisors (see below), whose sum is σ = 120175380. Its totient is φ = 13590528.

The previous prime is 41265773. The next prime is 41265793. The reversal of 41265792 is 29756214.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 13133376 = 5304^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (41265793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130018 + ... + 130334.

Almost surely, 2^41265792 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 41265792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60087690).

41265792 is an abundant number, since it is smaller than the sum of its proper divisors (78909588).

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

41265792 is a wasteful number, since it uses less digits than its factorization.

41265792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 41265792 is about 6423.8455772224. The cubic root of 41265792 is about 345.5652485633.

The spelling of 41265792 in words is "forty-one million, two hundred sixty-five thousand, seven hundred ninety-two".