4004224004000 has 96 divisors (see below), whose sum is σ = 10732776530112. Its totient is φ = 1456081440000.

The previous prime is 4004224003987. The next prime is 4004224004083. The reversal of 4004224004000 is 4004224004.

4004224004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 45458546 + ... + 45546545.

It is an arithmetic number, because the mean of its divisors is an integer number (111799755522).

Almost surely, 2^{4004224004000} is an apocalyptic number.

4004224004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004224004000 is an abundant number, since it is smaller than the sum of its proper divisors (6728552526112).

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

4004224004000 is a wasteful number, since it uses less digits than its factorization.

4004224004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91005127 (or 91005109 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4004224004000 its reverse (4004224004), we get a palindrome (4008228228004).

4004224004000 divided by its reverse (4004224004) gives a cube (1000 = 10³).

It can be divided in two parts, 40042 and 24004000, that added together give a palindrome (24044042).

The spelling of 4004224004000 in words is "four trillion, four billion, two hundred twenty-four million, four thousand".