41983760 has 160 divisors (see below), whose sum is σ = 123325440. Its totient is φ = 12939264.

The previous prime is 41983729. The next prime is 41983769. The reversal of 41983760 is 6738914.

It is a super-2 number, since 2×41983760² = 3525272207475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41983769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531401 + ... + 531479.

It is an arithmetic number, because the mean of its divisors is an integer number (770784).

Almost surely, 2^41983760 is an apocalyptic number.

41983760 is a gapful number since it is divisible by the number (40) 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 41983760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61662720).

41983760 is an abundant number, since it is smaller than the sum of its proper divisors (81341680).

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

41983760 is a wasteful number, since it uses less digits than its factorization.

41983760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 41983760 is about 6479.4876340649. The cubic root of 41983760 is about 347.5578565917.

The spelling of 41983760 in words is "forty-one million, nine hundred eighty-three thousand, seven hundred sixty".