41321344312314 has 384 divisors, whose sum is σ = 104160567603456. Its totient is φ = 11724341760000.

The previous prime is 41321344312189. The next prime is 41321344312319.

41321344312314 is a `hidden beast` number, since 4 + 1 + 3 + 21 + 3 + 4 + 4 + 312 + 314 = 666.

41321344312314 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (41321344312319) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8585358972 + ... + 8585363784.

It is an arithmetic number, because the mean of its divisors is an integer number (271251478134).

Almost surely, 2^{41321344312314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41321344312314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080283801728).

41321344312314 is an abundant number, since it is smaller than the sum of its proper divisors (62839223291142).

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

41321344312314 is a wasteful number, since it uses less digits than its factorization.

41321344312314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5291 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 4132134 and 4312314, that added together give a palindrome (8444448).

The spelling of 41321344312314 in words is "forty-one trillion, three hundred twenty-one billion, three hundred forty-four million, three hundred twelve thousand, three hundred fourteen".