41332111123314 has 96 divisors (see below), whose sum is σ = 90979924714560. Its totient is φ = 12508681489920.

The previous prime is 41332111123291. The next prime is 41332111123343.

It is a happy number.

41332111123314 is nontrivially palindromic in base 10.

41332111123314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2330267454 + ... + 2330285190.

It is an arithmetic number, because the mean of its divisors is an integer number (947707549110).

Almost surely, 2^{41332111123314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41332111123314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489962357280).

41332111123314 is an abundant number, since it is smaller than the sum of its proper divisors (49647813591246).

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

41332111123314 is a wasteful number, since it uses less digits than its factorization.

41332111123314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21736 (or 21725 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 4133211 and 1123314, that added together give a palindrome (5256525).

The spelling of 41332111123314 in words is "forty-one trillion, three hundred thirty-two billion, one hundred eleven million, one hundred twenty-three thousand, three hundred fourteen".