41983920 has 400 divisors, whose sum is σ = 172846080. Its totient is φ = 9331200.

The previous prime is 41983919. The next prime is 41983927. The reversal of 41983920 is 2938914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41983927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1354305 + ... + 1354335.

Almost surely, 2^41983920 is an apocalyptic number.

41983920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 6479×6480.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

41983920 is an abundant number, since it is smaller than the sum of its proper divisors (130862160).

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

41983920 is a wasteful number, since it uses less digits than its factorization.

41983920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 41983920 is about 6479.4999807084. The cubic root of 41983920 is about 347.5582981052.

It can be divided in two parts, 4198 and 3920, that added together give a palindrome (8118).

The spelling of 41983920 in words is "forty-one million, nine hundred eighty-three thousand, nine hundred twenty".