4006006006004 has 6 divisors (see below), whose sum is σ = 7010510510514. Its totient is φ = 2003003003000.

The previous prime is 4006006006003. The next prime is 4006006006007.

4006006006004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3011099503504 + 994906502500 = 1735252^2 + 997450^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006006006003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500750750747 + ... + 500750750754.

It is an arithmetic number, because the mean of its divisors is an integer number (1168418418419).

Almost surely, 2^{4006006006004} is an apocalyptic number.

It is an amenable number.

4006006006004 is a deficient number, since it is larger than the sum of its proper divisors (3004504504510).

4006006006004 is a wasteful number, since it uses less digits than its factorization.

4006006006004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001501501505 (or 1001501501503 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The spelling of 4006006006004 in words is "four trillion, six billion, six million, six thousand, four", and thus it is an eban number.