41265664 has 80 divisors (see below), whose sum is σ = 95458176. Its totient is φ = 17612800.

The previous prime is 41265593. The next prime is 41265667. The reversal of 41265664 is 46656214.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (41265667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95529 + ... + 95959.

Almost surely, 2^41265664 is an apocalyptic number.

41265664 is a gapful number since it is divisible by the number (44) 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 41265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47729088).

41265664 is an abundant number, since it is smaller than the sum of its proper divisors (54192512).

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

41265664 is a wasteful number, since it uses less digits than its factorization.

41265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 41265664 is about 6423.8356143351. The cubic root of 41265664 is about 345.5648912666.

The spelling of 41265664 in words is "forty-one million, two hundred sixty-five thousand, six hundred sixty-four".