4004004004 has 96 divisors (see below), whose sum is σ = 9502117632. Its totient is φ = 1425600000.

The previous prime is 4004003981. The next prime is 4004004019.

4004004004 is nontrivially palindromic in base 10.

4004004004 is a modest number, since divided by 4004004 gives 4 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399454 + ... + 409354.

It is an arithmetic number, because the mean of its divisors is an integer number (98980392).

Almost surely, 2^4004004004 is an apocalyptic number.

4004004004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751058816).

4004004004 is an abundant number, since it is smaller than the sum of its proper divisors (5498113628).

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

4004004004 is a wasteful number, since it uses less digits than its factorization.

4004004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10037 (or 10035 counting only the distinct ones).

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

The square root of 4004004004 is about 63277.1997168016. The cubic root of 4004004004 is about 1587.9305386820.

It can be divided in two parts, 400400 and 4004, that multiplied together give a square (1603201600 = 40040²).

The spelling of 4004004004 in words is "four billion, four million, four thousand, four", and thus it is an eban number.