442040149321 has 27 divisors (see below), whose sum is σ = 467709057543. Its totient is φ = 417745463520.

The previous prime is 442040149289. The next prime is 442040149333. The reversal of 442040149321 is 123941040244.

The square root of 442040149321 is 664861.

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., 259656489225 + 182383660096 = 509565^2 + 427064^2 .

It is not a de Polignac number, because 442040149321 - 2⁵ = 442040149289 is a prime.

It is a super-3 number, since 3×442040149321³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442040149721) 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, 2094976906 + ... + 2094977116.

Almost surely, 2^442040149321 is an apocalyptic number.

442040149321 is the 664861-st square number.

442040149321 is the 332431-st centered octagonal number.

It is an amenable number.

442040149321 is a deficient number, since it is larger than the sum of its proper divisors (25668908222).

442040149321 is an frugal number, since it uses more digits than its factorization.

442040149321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 442040149321 its reverse (123941040244), we get a palindrome (565981189565).

It can be divided in two parts, 442040 and 149321, that added together give a square (591361 = 769²).

The spelling of 442040149321 in words is "four hundred forty-two billion, forty million, one hundred forty-nine thousand, three hundred twenty-one".