41029664 has 96 divisors (see below), whose sum is σ = 95256000. Its totient is φ = 17224704.

The previous prime is 41029657. The next prime is 41029679. The reversal of 41029664 is 46692014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 41029664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229127 + ... + 229305.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 2^41029664 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 41029664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628000).

41029664 is an abundant number, since it is smaller than the sum of its proper divisors (54226336).

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

41029664 is a wasteful number, since it uses less digits than its factorization.

41029664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 41029664 is about 6405.4401878403. The cubic root of 41029664 is about 344.9048648978.

The spelling of 41029664 in words is "forty-one million, twenty-nine thousand, six hundred sixty-four".