404145350321 has 2 divisors, whose sum is σ = 404145350322. Its totient is φ = 404145350320.

The previous prime is 404145350303. The next prime is 404145350339. The reversal of 404145350321 is 123053541404.

It is a balanced prime because it is at equal distance from previous prime (404145350303) and next prime (404145350339).

It can be written as a sum of positive squares in only one way, i.e., 257332998400 + 146812351921 = 507280^2 + 383161^2 .

It is a cyclic number.

It is not a de Polignac number, because 404145350321 - 2¹⁴ = 404145333937 is a prime.

It is not a weakly prime, because it can be changed into another prime (404145350381) 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 as a sum of consecutive naturals, namely, 202072675160 + 202072675161.

It is an arithmetic number, because the mean of its divisors is an integer number (202072675161).

Almost surely, 2^404145350321 is an apocalyptic number.

It is an amenable number.

404145350321 is a deficient number, since it is larger than the sum of its proper divisors (1).

404145350321 is an equidigital number, since it uses as much as digits as its factorization.

404145350321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 404145350321 its reverse (123053541404), we get a palindrome (527198891725).

The spelling of 404145350321 in words is "four hundred four billion, one hundred forty-five million, three hundred fifty thousand, three hundred twenty-one".