41981664 has 96 divisors (see below), whose sum is σ = 114742656. Its totient is φ = 13432320.

The previous prime is 41981623. The next prime is 41981689. The reversal of 41981664 is 46618914.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×41981664² = 3524920224417792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392299 + ... + 392405.

It is an arithmetic number, because the mean of its divisors is an integer number (1195236).

Almost surely, 2^41981664 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 41981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57371328).

41981664 is an abundant number, since it is smaller than the sum of its proper divisors (72760992).

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

41981664 is a wasteful number, since it uses less digits than its factorization.

41981664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 41981664 is about 6479.3258908624. The cubic root of 41981664 is about 347.5520726617.

The spelling of 41981664 in words is "forty-one million, nine hundred eighty-one thousand, six hundred sixty-four".