41312221314 has 128 divisors (see below), whose sum is σ = 106989507072. Its totient is φ = 10342287360.

The previous prime is 41312221289. The next prime is 41312221361.

41312221314 is nontrivially palindromic in base 10.

It is a Curzon number.

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, 803344 + ... + 853220.

It is an arithmetic number, because the mean of its divisors is an integer number (835855524).

Almost surely, 2^41312221314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41312221314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53494753536).

41312221314 is an abundant number, since it is smaller than the sum of its proper divisors (65677285758).

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

41312221314 is a wasteful number, since it uses less digits than its factorization.

41312221314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49980.

The product of its digits is 1152, while the sum is 24.

The spelling of 41312221314 in words is "forty-one billion, three hundred twelve million, two hundred twenty-one thousand, three hundred fourteen".