13444400321 has 16 divisors (see below), whose sum is σ = 14926363776. Its totient is φ = 12006960000.

The previous prime is 13444400317. The next prime is 13444400329. The reversal of 13444400321 is 12300444431.

It is a cyclic number.

It is not a de Polignac number, because 13444400321 - 2² = 13444400317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13444400329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188831 + ... + 250091.

It is an arithmetic number, because the mean of its divisors is an integer number (932897736).

Almost surely, 2^13444400321 is an apocalyptic number.

13444400321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13444400321 is a deficient number, since it is larger than the sum of its proper divisors (1481963455).

13444400321 is a wasteful number, since it uses less digits than its factorization.

13444400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61624.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 13444400321 its reverse (12300444431), we get a palindrome (25744844752).

The spelling of 13444400321 in words is "thirteen billion, four hundred forty-four million, four hundred thousand, three hundred twenty-one".