321223434341441 has 8 divisors (see below), whose sum is σ = 321328941143400. Its totient is φ = 321117928951680.

The previous prime is 321223434341389. The next prime is 321223434341473. The reversal of 321223434341441 is 144143434322123.

It can be written as a sum of positive squares in 4 ways, for example, as 29139440425216 + 292083993916225 = 5398096^2 + 17090465^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321223434341441 - 2²⁶ = 321223367232577 is a prime.

It is a super-3 number, since 3×321223434341441³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321223434341041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650370461 + ... + 650864181.

It is an arithmetic number, because the mean of its divisors is an integer number (40166117642925).

Almost surely, 2^{321223434341441} is an apocalyptic number.

It is an amenable number.

321223434341441 is a deficient number, since it is larger than the sum of its proper divisors (105506801959).

321223434341441 is a wasteful number, since it uses less digits than its factorization.

321223434341441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706099.

The product of its digits is 663552, while the sum is 41.

Adding to 321223434341441 its reverse (144143434322123), we get a palindrome (465366868663564).

The spelling of 321223434341441 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, four hundred thirty-four million, three hundred forty-one thousand, four hundred forty-one".