41081920 has 84 divisors (see below), whose sum is σ = 107629452. Its totient is φ = 14924800.

The previous prime is 41081891. The next prime is 41081927. The reversal of 41081920 is 2918014.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20939776 + 20142144 = 4576^2 + 4488^2 .

It is not an unprimeable number, because it can be changed into a prime (41081927) 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 11 ways as a sum of consecutive naturals, for example, 38190 + ... + 39250.

It is an arithmetic number, because the mean of its divisors is an integer number (1281303).

Almost surely, 2^41081920 is an apocalyptic number.

41081920 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 41081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53814726).

41081920 is an abundant number, since it is smaller than the sum of its proper divisors (66547532).

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

41081920 is a wasteful number, since it uses less digits than its factorization.

41081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 41081920 is about 6409.5179225898. The cubic root of 41081920 is about 345.0512281277.

Adding to 41081920 its reverse (2918014), we get a palindrome (43999934).

The spelling of 41081920 in words is "forty-one million, eighty-one thousand, nine hundred twenty".