4440004032321 has 108 divisors (see below), whose sum is σ = 7638005495484. Its totient is φ = 2482401841920.

The previous prime is 4440004032313. The next prime is 4440004032323. The reversal of 4440004032321 is 1232304000444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 878838751296 + 3561165281025 = 937464^2 + 1887105^2 .

It is not a de Polignac number, because 4440004032321 - 2³ = 4440004032313 is a prime.

It is a super-2 number, since 2×4440004032321² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4440004032323) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 345438531 + ... + 345451383.

Almost surely, 2^{4440004032321} is an apocalyptic number.

It is an amenable number.

4440004032321 is a deficient number, since it is larger than the sum of its proper divisors (3198001463163).

4440004032321 is a wasteful number, since it uses less digits than its factorization.

4440004032321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14784 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4440004032321 its reverse (1232304000444), we get a palindrome (5672308032765).

The spelling of 4440004032321 in words is "four trillion, four hundred forty billion, four million, thirty-two thousand, three hundred twenty-one".