4004004040404 has 48 divisors (see below), whose sum is σ = 9404323795776. Its totient is φ = 1325876947200.

The previous prime is 4004004040403. The next prime is 4004004040411. The reversal of 4004004040404 is 4040404004004.

4004004040404 is a modest number, since divided by 4040404 gives 40040 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004004040403) 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 15 ways as a sum of consecutive naturals, for example, 1051459 + ... + 3018869.

It is an arithmetic number, because the mean of its divisors is an integer number (195923412412).

Almost surely, 2^{4004004040404} is an apocalyptic number.

It is an amenable number.

4004004040404 is an abundant number, since it is smaller than the sum of its proper divisors (5400319755372).

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

4004004040404 is a wasteful number, since it uses less digits than its factorization.

4004004040404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968536 (or 1968534 counting only the distinct ones).

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

Adding to 4004004040404 its reverse (4040404004004), we get a palindrome (8044408044408).

The spelling of 4004004040404 in words is "four trillion, four billion, four million, forty thousand, four hundred four".