321414304424441 has 16 divisors (see below), whose sum is σ = 346762908117648. Its totient is φ = 296782147584000.

The previous prime is 321414304424371. The next prime is 321414304424443. The reversal of 321414304424441 is 144424403414123.

It can be written as a sum of positive squares in 8 ways, for example, as 46830481158400 + 274583823266041 = 6843280^2 + 16570571^2 .

It is a cyclic number.

It is not a de Polignac number, because 321414304424441 - 2³⁰ = 321413230682617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321414304424443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4429241 + ... + 25738041.

It is an arithmetic number, because the mean of its divisors is an integer number (21672681757353).

Almost surely, 2^{321414304424441} is an apocalyptic number.

It is an amenable number.

321414304424441 is a deficient number, since it is larger than the sum of its proper divisors (25348603693207).

321414304424441 is a wasteful number, since it uses less digits than its factorization.

321414304424441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21325612.

The product of its (nonzero) digits is 589824, while the sum is 41.

Adding to 321414304424441 its reverse (144424403414123), we get a palindrome (465838707838564).

The spelling of 321414304424441 in words is "three hundred twenty-one trillion, four hundred fourteen billion, three hundred four million, four hundred twenty-four thousand, four hundred forty-one".