321204421441441 has 24 divisors (see below), whose sum is σ = 339318186340680. Its totient is φ = 304013158170624.

The previous prime is 321204421441391. The next prime is 321204421441469. The reversal of 321204421441441 is 144144124402123.

It can be written as a sum of positive squares in 4 ways, for example, as 6503030410816 + 314701391030625 = 2550104^2 + 17739825^2 .

It is not a de Polignac number, because 321204421441441 - 2³⁷ = 321066982487969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 321204421441441.

It is not an unprimeable number, because it can be changed into a prime (321204427441441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1654632001 + ... + 1654826113.

It is an arithmetic number, because the mean of its divisors is an integer number (14138257764195).

Almost surely, 2^{321204421441441} is an apocalyptic number.

It is an amenable number.

321204421441441 is a deficient number, since it is larger than the sum of its proper divisors (18113764899239).

321204421441441 is a wasteful number, since it uses less digits than its factorization.

321204421441441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198433 (or 198414 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 321204421441441 its reverse (144144124402123), we get a palindrome (465348545843564).

The spelling of 321204421441441 in words is "three hundred twenty-one trillion, two hundred four billion, four hundred twenty-one million, four hundred forty-one thousand, four hundred forty-one".