1234444444321 has 48 divisors (see below), whose sum is σ = 1409059830528. Its totient is φ = 1079892000000.

The previous prime is 1234444444307. The next prime is 1234444444339.

1234444444321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1234444444321 - 2⁹ = 1234444443809 is a prime.

It is a super-3 number, since 3×1234444444321³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1234444444301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135782986 + ... + 135792076.

It is an arithmetic number, because the mean of its divisors is an integer number (29355413136).

Almost surely, 2^{1234444444321} is an apocalyptic number.

1234444444321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1234444444321 is a deficient number, since it is larger than the sum of its proper divisors (174615386207).

1234444444321 is a wasteful number, since it uses less digits than its factorization.

1234444444321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9515 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 123 and 4444444321, that added together give a palindrome (4444444444).

The spelling of 1234444444321 in words is "one trillion, two hundred thirty-four billion, four hundred forty-four million, four hundred forty-four thousand, three hundred twenty-one".