41265768 has 64 divisors (see below), whose sum is σ = 106600320. Its totient is φ = 13305600.

The previous prime is 41265713. The next prime is 41265773. The reversal of 41265768 is 86756214.

41265768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103746 + ... + 104142.

It is an arithmetic number, because the mean of its divisors is an integer number (1665630).

Almost surely, 2^41265768 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 41265768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53300160).

41265768 is an abundant number, since it is smaller than the sum of its proper divisors (65334552).

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

41265768 is a wasteful number, since it uses less digits than its factorization.

41265768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 41265768 is about 6423.8437091822. The cubic root of 41265768 is about 345.5651815703.

The spelling of 41265768 in words is "forty-one million, two hundred sixty-five thousand, seven hundred sixty-eight".