4004445234321 has 45 divisors (see below), whose sum is σ = 6748325997179. Its totient is φ = 2288086326288.

The previous prime is 4004445234287. The next prime is 4004445234343. The reversal of 4004445234321 is 1234325444004.

The square root of 4004445234321 is 2001111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 588305025 + 4003856929296 = 24255^2 + 2000964^2 .

It is not a de Polignac number, because 4004445234321 - 2⁷ = 4004445234193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004445234521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 294156511 + ... + 294170123.

Almost surely, 2^{4004445234321} is an apocalyptic number.

4004445234321 is the 2001111-st square number.

4004445234321 is the 1000556-th centered octagonal number.

It is an amenable number.

4004445234321 is a deficient number, since it is larger than the sum of its proper divisors (2743880762858).

4004445234321 is an frugal number, since it uses more digits than its factorization.

4004445234321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27260 (or 13623 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Multiplying 4004445234321 by its sum of digits (36), we get a square (144160028435556 = 12006666²).

The spelling of 4004445234321 in words is "four trillion, four billion, four hundred forty-five million, two hundred thirty-four thousand, three hundred twenty-one".