4000400004004 has 12 divisors (see below), whose sum is σ = 7009165188144. Its totient is φ = 1997781378824.

The previous prime is 4000400003959. The next prime is 4000400004047. The reversal of 4000400004004 is 4004000040004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 604652074 + ... + 604658689.

It is an arithmetic number, because the mean of its divisors is an integer number (584097099012).

Almost surely, 2^{4000400004004} is an apocalyptic number.

It is an amenable number.

4000400004004 is a deficient number, since it is larger than the sum of its proper divisors (3008765184140).

4000400004004 is a wasteful number, since it uses less digits than its factorization.

4000400004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209311594 (or 1209311592 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4000400004004 its reverse (4004000040004), we get a palindrome (8004400044008).

The spelling of 4000400004004 in words is "four trillion, four hundred million, four thousand, four".