41608128 has 56 divisors (see below), whose sum is σ = 113082832. Its totient is φ = 13492224.

The previous prime is 41608111. The next prime is 41608181. The reversal of 41608128 is 82180614.

41608128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41608095 and 41608104.

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 7 ways as a sum of consecutive naturals, for example, 4176 + ... + 10032.

Almost surely, 2^41608128 is an apocalyptic number.

41608128 is a gapful number since it is divisible by the number (48) 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 41608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56541416).

41608128 is an abundant number, since it is smaller than the sum of its proper divisors (71474704).

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

41608128 is a wasteful number, since it uses less digits than its factorization.

41608128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 41608128 is about 6450.4362643158. The cubic root of 41608128 is about 346.5182073061.

The spelling of 41608128 in words is "forty-one million, six hundred eight thousand, one hundred twenty-eight".