41317668 has 192 divisors, whose sum is σ = 132464640. Its totient is φ = 10886400.

The previous prime is 41317651. The next prime is 41317673. The reversal of 41317668 is 86671314.

41317668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 960855 + ... + 960897.

It is an arithmetic number, because the mean of its divisors is an integer number (689920).

Almost surely, 2^41317668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41317668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66232320).

41317668 is an abundant number, since it is smaller than the sum of its proper divisors (91146972).

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

41317668 is a wasteful number, since it uses less digits than its factorization.

41317668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 41317668 is about 6427.8820773253. The cubic root of 41317668 is about 345.7099934418.

Subtracting from 41317668 its product of digits (24192), we obtain a square (41293476 = 6426²).

It can be divided in two parts, 413 and 17668, that added together give a palindrome (18081).

The spelling of 41317668 in words is "forty-one million, three hundred seventeen thousand, six hundred sixty-eight".