4004008004004 has 48 divisors (see below), whose sum is σ = 9436168410816. Its totient is φ = 1321317360000.

The previous prime is 4004008003949. The next prime is 4004008004023.

4004008004004 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4004008004004² (a number of 26 digits) contains 22 as substring.

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, 11833179 + ... + 12166845.

It is an arithmetic number, because the mean of its divisors is an integer number (196586841892).

Almost surely, 2^{4004008004004} is an apocalyptic number.

It is an amenable number.

4004008004004 is an abundant number, since it is smaller than the sum of its proper divisors (5432160406812).

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

4004008004004 is a wasteful number, since it uses less digits than its factorization.

4004008004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343676 (or 343674 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 4004008004004 in words is "four trillion, four billion, eight million, four thousand, four".