409431020544001 has 2 divisors, whose sum is σ = 409431020544002. Its totient is φ = 409431020544000.

The previous prime is 409431020543953. The next prime is 409431020544011. The reversal of 409431020544001 is 100445020134904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 396975937305025 + 12455083238976 = 19924255^2 + 3529176^2 .

It is a cyclic number.

It is not a de Polignac number, because 409431020544001 - 2¹⁷ = 409431020412929 is a prime.

It is not a weakly prime, because it can be changed into another prime (409431020544011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204715510272000 + 204715510272001.

It is an arithmetic number, because the mean of its divisors is an integer number (204715510272001).

Almost surely, 2^{409431020544001} is an apocalyptic number.

It is an amenable number.

409431020544001 is a deficient number, since it is larger than the sum of its proper divisors (1).

409431020544001 is an equidigital number, since it uses as much as digits as its factorization.

409431020544001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 409431020544001 its reverse (100445020134904), we get a palindrome (509876040678905).

The spelling of 409431020544001 in words is "four hundred nine trillion, four hundred thirty-one billion, twenty million, five hundred forty-four thousand, one".