41343633634314 has 128 divisors (see below), whose sum is σ = 94559076622080. Its totient is φ = 11939807692800.

The previous prime is 41343633634301. The next prime is 41343633634321.

It is a happy number.

41343633634314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32213304 + ... + 33472140.

It is an arithmetic number, because the mean of its divisors is an integer number (738742786110).

Almost surely, 2^{41343633634314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41343633634314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47279538311040).

41343633634314 is an abundant number, since it is smaller than the sum of its proper divisors (53215442987766).

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

41343633634314 is a wasteful number, since it uses less digits than its factorization.

41343633634314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259176.

The product of its digits is 6718464, while the sum is 48.

It can be divided in two parts, 4134363 and 3634314, that added together give a palindrome (7768677).

The spelling of 41343633634314 in words is "forty-one trillion, three hundred forty-three billion, six hundred thirty-three million, six hundred thirty-four thousand, three hundred fourteen".