4004434204040 has 16 divisors (see below), whose sum is σ = 9009976959180. Its totient is φ = 1601773681600.

The previous prime is 4004434204033. The next prime is 4004434204063. The reversal of 4004434204040 is 404024344004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3976043976004 + 28390228036 = 1994002^2 + 168494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4004434203994 and 4004434204012.

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 3 ways as a sum of consecutive naturals, for example, 50055427511 + ... + 50055427590.

Almost surely, 2^{4004434204040} is an apocalyptic number.

4004434204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004434204040 is an abundant number, since it is smaller than the sum of its proper divisors (5005542755140).

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

4004434204040 is a wasteful number, since it uses less digits than its factorization.

4004434204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100110855112 (or 100110855108 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 4004434204040 its reverse (404024344004), we get a palindrome (4408458548044).

The spelling of 4004434204040 in words is "four trillion, four billion, four hundred thirty-four million, two hundred four thousand, forty".