41331168 has 48 divisors (see below), whose sum is σ = 120551760. Its totient is φ = 13776768.

The previous prime is 41331167. The next prime is 41331179. The reversal of 41331168 is 86113314.

41331168 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41331167) by changing a digit.

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, 23055 + ... + 24782.

It is an arithmetic number, because the mean of its divisors is an integer number (2511495).

Almost surely, 2^41331168 is an apocalyptic number.

41331168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41331168 is an abundant number, since it is smaller than the sum of its proper divisors (79220592).

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

41331168 is a wasteful number, since it uses less digits than its factorization.

41331168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47856 (or 47842 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 41331168 is about 6428.9321041678. The cubic root of 41331168 is about 345.7476413935.

The spelling of 41331168 in words is "forty-one million, three hundred thirty-one thousand, one hundred sixty-eight".