4004006004004 has 6 divisors (see below), whose sum is σ = 7007010507014. Its totient is φ = 2002003002000.

The previous prime is 4004006003999. The next prime is 4004006004023.

It is a happy number.

4004006004004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3809523240000 + 194482764004 = 1951800^2 + 441002^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500750497 + ... + 500500750504.

Almost surely, 2^{4004006004004} is an apocalyptic number.

It is an amenable number.

4004006004004 is a deficient number, since it is larger than the sum of its proper divisors (3003004503010).

4004006004004 is a wasteful number, since it uses less digits than its factorization.

4004006004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001001501005 (or 1001001501003 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The spelling of 4004006004004 in words is "four trillion, four billion, six million, four thousand, four", and thus it is an eban number.