4000400040004 has 48 divisors (see below), whose sum is σ = 7568895480048. Its totient is φ = 1843199705088.

The previous prime is 4000400039947. The next prime is 4000400040023.

4000400040004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 532313241604 + 3468086798400 = 729598^2 + 1862280^2 .

4000400040004 is a modest number, since divided by 400040004 gives 4 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4000400040004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2261109 + ... + 3621244.

It is an arithmetic number, because the mean of its divisors is an integer number (157685322501).

Almost surely, 2^{4000400040004} is an apocalyptic number.

It is an amenable number.

4000400040004 is a deficient number, since it is larger than the sum of its proper divisors (3568495440044).

4000400040004 is a wasteful number, since it uses less digits than its factorization.

4000400040004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882584 (or 5882582 counting only the distinct ones).

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

It can be divided in two parts, 40004000 and 40004, that added together give a palindrome (40044004).

The spelling of 4000400040004 in words is "four trillion, four hundred million, forty thousand, four".