41313168 has 120 divisors (see below), whose sum is σ = 128976120. Its totient is φ = 12257280.

The previous prime is 41313133. The next prime is 41313169. The reversal of 41313168 is 86131314.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 40297104 = 1008^2 + 6348^2 .

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 (41313169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53908 + ... + 54668.

It is an arithmetic number, because the mean of its divisors is an integer number (1074801).

Almost surely, 2^41313168 is an apocalyptic number.

41313168 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 41313168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64488060).

41313168 is an abundant number, since it is smaller than the sum of its proper divisors (87662952).

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

41313168 is a wasteful number, since it uses less digits than its factorization.

41313168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 808 counting only the distinct ones).

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

The square root of 41313168 is about 6427.5320302586. The cubic root of 41313168 is about 345.6974423023.

The spelling of 41313168 in words is "forty-one million, three hundred thirteen thousand, one hundred sixty-eight".