41233444433214 has 128 divisors (see below), whose sum is σ = 95501099520000. Its totient is φ = 11744888305920.

The previous prime is 41233444433213. The next prime is 41233444433231.

41233444433214 is nontrivially palindromic in base 10.

41233444433214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41233444433213) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 250960162 + ... + 251124410.

It is an arithmetic number, because the mean of its divisors is an integer number (746102340000).

Almost surely, 2^{41233444433214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41233444433214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47750549760000).

41233444433214 is an abundant number, since it is smaller than the sum of its proper divisors (54267655086786).

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

41233444433214 is a wasteful number, since it uses less digits than its factorization.

41233444433214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167150.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 4123344 and 4433214, that added together give a palindrome (8556558).

The spelling of 41233444433214 in words is "forty-one trillion, two hundred thirty-three billion, four hundred forty-four million, four hundred thirty-three thousand, two hundred fourteen".