41322244222314 has 96 divisors (see below), whose sum is σ = 98704200741120. Its totient is φ = 12389566608000.

The previous prime is 41322244222289. The next prime is 41322244222333.

41322244222314 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 224 + 422 + 2 + 3 + 1 + 4 = 666.

41322244222314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29042232 + ... + 30431820.

It is an arithmetic number, because the mean of its divisors is an integer number (1028168757720).

Almost surely, 2^{41322244222314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41322244222314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49352100370560).

41322244222314 is an abundant number, since it is smaller than the sum of its proper divisors (57381956518806).

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

41322244222314 is a wasteful number, since it uses less digits than its factorization.

41322244222314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391196 (or 1391193 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4132224 and 4222314, that added together give a palindrome (8354538).

The spelling of 41322244222314 in words is "forty-one trillion, three hundred twenty-two billion, two hundred forty-four million, two hundred twenty-two thousand, three hundred fourteen".