344322411341441 has 32 divisors (see below), whose sum is σ = 392798105850528. Its totient is φ = 299004939878400.

The previous prime is 344322411341437. The next prime is 344322411341477. The reversal of 344322411341441 is 144143114223443.

It can be written as a sum of positive squares in 16 ways, for example, as 62943928905841 + 281378482435600 = 7933721^2 + 16774340^2 .

It is not a de Polignac number, because 344322411341441 - 2² = 344322411341437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (344322411341401) 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 31 ways as a sum of consecutive naturals, for example, 8178464291 + ... + 8178506391.

It is an arithmetic number, because the mean of its divisors is an integer number (12274940807829).

Almost surely, 2^{344322411341441} is an apocalyptic number.

It is an amenable number.

344322411341441 is a deficient number, since it is larger than the sum of its proper divisors (48475694509087).

344322411341441 is a wasteful number, since it uses less digits than its factorization.

344322411341441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57941.

The product of its digits is 442368, while the sum is 41.

Adding to 344322411341441 its reverse (144143114223443), we get a palindrome (488465525564884).

The spelling of 344322411341441 in words is "three hundred forty-four trillion, three hundred twenty-two billion, four hundred eleven million, three hundred forty-one thousand, four hundred forty-one".