41809120 has 96 divisors (see below), whose sum is σ = 110224800. Its totient is φ = 14893056.

The previous prime is 41809099. The next prime is 41809123. The reversal of 41809120 is 2190814.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41809123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51276 + ... + 52084.

It is an arithmetic number, because the mean of its divisors is an integer number (1148175).

Almost surely, 2^41809120 is an apocalyptic number.

41809120 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 41809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55112400).

41809120 is an abundant number, since it is smaller than the sum of its proper divisors (68415680).

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

41809120 is a wasteful number, since it uses less digits than its factorization.

41809120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

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

The square root of 41809120 is about 6465.9972162073. The cubic root of 41809120 is about 347.0752742764.

Adding to 41809120 its reverse (2190814), we get a palindrome (43999934).

The spelling of 41809120 in words is "forty-one million, eight hundred nine thousand, one hundred twenty".