4440004311321 has 20 divisors (see below), whose sum is σ = 6794369746164. Its totient is φ = 2887807680000.

The previous prime is 4440004311311. The next prime is 4440004311359. The reversal of 4440004311321 is 1231134000444.

It can be written as a sum of positive squares in 2 ways, for example, as 449618527296 + 3990385784025 = 670536^2 + 1997595^2 .

It is not a de Polignac number, because 4440004311321 - 2³¹ = 4437856827673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4440004311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 668470680 + ... + 668477321.

Almost surely, 2^{4440004311321} is an apocalyptic number.

4440004311321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4440004311321 is a deficient number, since it is larger than the sum of its proper divisors (2354365434843).

4440004311321 is a wasteful number, since it uses less digits than its factorization.

4440004311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336948054 (or 1336948045 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4440004311321 its reverse (1231134000444), we get a palindrome (5671138311765).

The spelling of 4440004311321 in words is "four trillion, four hundred forty billion, four million, three hundred eleven thousand, three hundred twenty-one".