41279664 has 80 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 13018368.

The previous prime is 41279659. The next prime is 41279669. The reversal of 41279664 is 46697214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41279659) and next prime (41279669).

It is not an unprimeable number, because it can be changed into a prime (41279669) 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, 153322 + ... + 153590.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^41279664 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 41279664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

41279664 is an abundant number, since it is smaller than the sum of its proper divisors (71213136).

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

41279664 is a wasteful number, since it uses less digits than its factorization.

41279664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 41279664 is about 6424.9252135725. The cubic root of 41279664 is about 345.6039662182.

The spelling of 41279664 in words is "forty-one million, two hundred seventy-nine thousand, six hundred sixty-four".