41331264 has 112 divisors (see below), whose sum is σ = 122041920. Its totient is φ = 12257280.

The previous prime is 41331263. The next prime is 41331271. The reversal of 41331264 is 46213314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41331263) 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 15 ways as a sum of consecutive naturals, for example, 72099 + ... + 72669.

It is an arithmetic number, because the mean of its divisors is an integer number (1089660).

Almost surely, 2^41331264 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 41331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61020960).

41331264 is an abundant number, since it is smaller than the sum of its proper divisors (80710656).

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

41331264 is a wasteful number, since it uses less digits than its factorization.

41331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 41331264 is about 6428.9395704113. The cubic root of 41331264 is about 345.7479090829.

Adding to 41331264 its reverse (46213314), we get a palindrome (87544578).

The spelling of 41331264 in words is "forty-one million, three hundred thirty-one thousand, two hundred sixty-four".