41322122122314 has 128 divisors (see below), whose sum is σ = 94918069555200. Its totient is φ = 11870845747200.

The previous prime is 41322122122313. The next prime is 41322122122349.

41322122122314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (41322122122313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77368944 + ... + 77901204.

It is an arithmetic number, because the mean of its divisors is an integer number (741547418400).

Almost surely, 2^{41322122122314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41322122122314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47459034777600).

41322122122314 is an abundant number, since it is smaller than the sum of its proper divisors (53595947432886).

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

41322122122314 is a wasteful number, since it uses less digits than its factorization.

41322122122314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532756.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 4132212 and 2122314, that added together give a palindrome (6254526).

The spelling of 41322122122314 in words is "forty-one trillion, three hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, three hundred fourteen".