40404442331 has 24 divisors (see below), whose sum is σ = 44724554784. Its totient is φ = 36473360000.

The previous prime is 40404442319. The next prime is 40404442333. The reversal of 40404442331 is 13324440404.

It is a happy number.

It is not a de Polignac number, because 40404442331 - 2¹⁴ = 40404425947 is a prime.

It is a super-2 number, since 2×40404442331² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40404442294 and 40404442303.

It is not an unprimeable number, because it can be changed into a prime (40404442333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10572401 + ... + 10576221.

It is an arithmetic number, because the mean of its divisors is an integer number (1863523116).

Almost surely, 2^40404442331 is an apocalyptic number.

40404442331 is a deficient number, since it is larger than the sum of its proper divisors (4320112453).

40404442331 is a wasteful number, since it uses less digits than its factorization.

40404442331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 40404442331 its reverse (13324440404), we get a palindrome (53728882735).

The spelling of 40404442331 in words is "forty billion, four hundred four million, four hundred forty-two thousand, three hundred thirty-one".