41969664 has 240 divisors, whose sum is σ = 142702560. Its totient is φ = 12165120.

The previous prime is 41969659. The next prime is 41969701. The reversal of 41969664 is 46696914.

It is a super-2 number, since 2×41969664² = 3522905392545792, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1824757 + ... + 1824779.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 2^41969664 is an apocalyptic number.

41969664 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 41969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71351280).

41969664 is an abundant number, since it is smaller than the sum of its proper divisors (100732896).

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

41969664 is a wasteful number, since it uses less digits than its factorization.

41969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 41969664 is about 6478.3998024203. The cubic root of 41969664 is about 347.5189548517.

The spelling of 41969664 in words is "forty-one million, nine hundred sixty-nine thousand, six hundred sixty-four".