41135808 has 112 divisors (see below), whose sum is σ = 125886464. Its totient is φ = 11612160.

The previous prime is 41135761. The next prime is 41135813. The reversal of 41135808 is 80853114.

41135808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 170568 + ... + 170808.

Almost surely, 2^41135808 is an apocalyptic number.

41135808 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 41135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62943232).

41135808 is an abundant number, since it is smaller than the sum of its proper divisors (84750656).

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

41135808 is a wasteful number, since it uses less digits than its factorization.

41135808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 41135808 is about 6413.7202932463. The cubic root of 41135808 is about 345.2020324751.

The spelling of 41135808 in words is "forty-one million, one hundred thirty-five thousand, eight hundred eight".