41623120 has 160 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 12472320.

The previous prime is 41623117. The next prime is 41623139. The reversal of 41623120 is 2132614.

41623120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178524 + ... + 178756.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 2^41623120 is an apocalyptic number.

41623120 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 41623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

41623120 is an abundant number, since it is smaller than the sum of its proper divisors (83726000).

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

41623120 is a wasteful number, since it uses less digits than its factorization.

41623120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 41623120 is about 6451.5982515963. The cubic root of 41623120 is about 346.5598207872.

Adding to 41623120 its reverse (2132614), we get a palindrome (43755734).

The spelling of 41623120 in words is "forty-one million, six hundred twenty-three thousand, one hundred twenty".