4004884004 has 24 divisors (see below), whose sum is σ = 8095435488. Its totient is φ = 1713319040.

The previous prime is 4004884003. The next prime is 4004884019.

It is a happy number.

4004884004 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4004884001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2676314 + ... + 2677809.

It is an arithmetic number, because the mean of its divisors is an integer number (337309812).

Almost surely, 2^4004884004 is an apocalyptic number.

4004884004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004884004 is an abundant number, since it is smaller than the sum of its proper divisors (4090551484).

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

4004884004 is a wasteful number, since it uses less digits than its factorization.

4004884004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354155 (or 5354153 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4004884004 is about 63284.1528662587. The cubic root of 4004884004 is about 1588.0468619519.

The spelling of 4004884004 in words is "four billion, four million, eight hundred eighty-four thousand, four".