440711427321 has 27 divisors (see below), whose sum is σ = 699750172303. Its totient is φ = 267084557520.

The previous prime is 440711427307. The next prime is 440711427329. The reversal of 440711427321 is 123724117044.

The square root of 440711427321 is 663861.

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

440711427321 is a `hidden beast` number, since 440 + 7 + 1 + 142 + 73 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91472978025 + 349238449296 = 302445^2 + 590964^2 .

It is not a de Polignac number, because 440711427321 - 2⁷ = 440711427193 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 (440711427329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21897355 + ... + 21917471.

Almost surely, 2^440711427321 is an apocalyptic number.

440711427321 is the 663861-st square number.

440711427321 is the 331931-st centered octagonal number.

It is an amenable number.

440711427321 is a deficient number, since it is larger than the sum of its proper divisors (259038744982).

440711427321 is an frugal number, since it uses more digits than its factorization.

440711427321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40262 (or 20131 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Multiplying 440711427321 by its sum of digits (36), we get a square (15865611383556 = 3983166²).

The spelling of 440711427321 in words is "four hundred forty billion, seven hundred eleven million, four hundred twenty-seven thousand, three hundred twenty-one".