403321431311441 has 2 divisors, whose sum is σ = 403321431311442. Its totient is φ = 403321431311440.

The previous prime is 403321431311371. The next prime is 403321431311453. The reversal of 403321431311441 is 144113134123304.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374755239091216 + 28566192220225 = 19358596^2 + 5344735^2 .

It is a cyclic number.

It is not a de Polignac number, because 403321431311441 - 2¹⁰ = 403321431310417 is a prime.

It is a super-2 number, since 2×403321431311441² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (403321431311741) 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 as a sum of consecutive naturals, namely, 201660715655720 + 201660715655721.

It is an arithmetic number, because the mean of its divisors is an integer number (201660715655721).

Almost surely, 2^{403321431311441} is an apocalyptic number.

It is an amenable number.

403321431311441 is a deficient number, since it is larger than the sum of its proper divisors (1).

403321431311441 is an equidigital number, since it uses as much as digits as its factorization.

403321431311441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

Adding to 403321431311441 its reverse (144113134123304), we get a palindrome (547434565434745).

The spelling of 403321431311441 in words is "four hundred three trillion, three hundred twenty-one billion, four hundred thirty-one million, three hundred eleven thousand, four hundred forty-one".