40044412321 has 9 divisors (see below), whose sum is σ = 40481119731. Its totient is φ = 39612372672.

The previous prime is 40044412301. The next prime is 40044412333. The reversal of 40044412321 is 12321444004.

The square root of 40044412321 is 200111.

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

40044412321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17981469025 + 22062943296 = 134095^2 + 148536^2 .

It is not a de Polignac number, because 40044412321 - 2²¹ = 40042315169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40044412301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19409736 + ... + 19411798.

Almost surely, 2^40044412321 is an apocalyptic number.

40044412321 is the 200111-st square number.

40044412321 is the 100056-th centered octagonal number.

It is an amenable number.

40044412321 is a deficient number, since it is larger than the sum of its proper divisors (436707410).

40044412321 is an frugal number, since it uses more digits than its factorization.

40044412321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Multiplying 40044412321 by its sum of digits (25), we get a square (1001110308025 = 1000555²).

Adding to 40044412321 its reverse (12321444004), we get a palindrome (52365856325).

The spelling of 40044412321 in words is "forty billion, forty-four million, four hundred twelve thousand, three hundred twenty-one".