4000404400404 has 24 divisors (see below), whose sum is σ = 9334314251808. Its totient is φ = 1333462802400.

The previous prime is 4000404400403. The next prime is 4000404400417. The reversal of 4000404400404 is 4040044040004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000404400403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3504454 + ... + 4503554.

It is an arithmetic number, because the mean of its divisors is an integer number (388929760492).

Almost surely, 2^{4000404400404} is an apocalyptic number.

It is an amenable number.

4000404400404 is an abundant number, since it is smaller than the sum of its proper divisors (5333909851404).

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

4000404400404 is a wasteful number, since it uses less digits than its factorization.

4000404400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332775 (or 1332773 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4000404400404 its reverse (4040044040004), we get a palindrome (8040448440408).

It can be divided in two parts, 4000 and 404400404, that added together give a palindrome (404404404).

The spelling of 4000404400404 in words is "four trillion, four hundred four million, four hundred thousand, four hundred four".