404444404040 has 64 divisors (see below), whose sum is σ = 950700078000. Its totient is φ = 154652646400.

The previous prime is 404444404031. The next prime is 404444404057. The reversal of 404444404040 is 40404444404.

It can be written as a sum of positive squares in 8 ways, for example, as 308422508164 + 96021895876 = 555358^2 + 309874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404444403988 and 404444404006.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1608875 + ... + 1843194.

Almost surely, 2^404444404040 is an apocalyptic number.

404444404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404444404040 is an abundant number, since it is smaller than the sum of its proper divisors (546255673960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404444404040 is a wasteful number, since it uses less digits than its factorization.

404444404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452210 (or 3452206 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 404444404040 its reverse (40404444404), we get a palindrome (444848848444).

It can be divided in two parts, 404 and 444404040, that added together give a palindrome (444404444).

The spelling of 404444404040 in words is "four hundred four billion, four hundred forty-four million, four hundred four thousand, forty".