41344833844314 has 512 divisors, whose sum is σ = 128806839705600. Its totient is φ = 9481537658880.

The previous prime is 41344833844309. The next prime is 41344833844423.

It is a happy number.

41344833844314 is a `hidden beast` number, since 4 + 1 + 34 + 483 + 3 + 84 + 43 + 14 = 666.

41344833844314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41344833844314² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 167606314 + ... + 167852810.

It is an arithmetic number, because the mean of its divisors is an integer number (251575858800).

Almost surely, 2^{41344833844314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41344833844314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64403419852800).

41344833844314 is an abundant number, since it is smaller than the sum of its proper divisors (87462005861286).

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

41344833844314 is a wasteful number, since it uses less digits than its factorization.

41344833844314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246675 (or 246669 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

It can be divided in two parts, 4134483 and 3844314, that added together give a palindrome (7978797).

The spelling of 41344833844314 in words is "forty-one trillion, three hundred forty-four billion, eight hundred thirty-three million, eight hundred forty-four thousand, three hundred fourteen".