41311314 has 48 divisors (see below), whose sum is σ = 100301760. Its totient is φ = 12178080.

The previous prime is 41311307. The next prime is 41311321.

41311314 is a `hidden beast` number, since 41 + 311 + 314 = 666.

41311314 is nontrivially palindromic in base 10.

41311314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41311307) and next prime (41311321).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 4507 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (2089620).

Almost surely, 2^41311314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41311314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50150880).

41311314 is an abundant number, since it is smaller than the sum of its proper divisors (58990446).

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

41311314 is a wasteful number, since it uses less digits than its factorization.

41311314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5692 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 41311314 is about 6427.3878053218. The cubic root of 41311314 is about 345.6922709677.

It can be divided in two parts, 4131 and 1314, that added together give a palindrome (5445).

The spelling of 41311314 in words is "forty-one million, three hundred eleven thousand, three hundred fourteen".