4004440444000 has 48 divisors (see below), whose sum is σ = 9838910180736. Its totient is φ = 1601776176000.

The previous prime is 4004440443977. The next prime is 4004440444027. The reversal of 4004440444000 is 4440444004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004440444000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500551056 + ... + 500559055.

It is an arithmetic number, because the mean of its divisors is an integer number (204977295432).

Almost surely, 2^{4004440444000} is an apocalyptic number.

4004440444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004440444000 is an abundant number, since it is smaller than the sum of its proper divisors (5834469736736).

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

4004440444000 is a wasteful number, since it uses less digits than its factorization.

4004440444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001110136 (or 1001110118 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4004440444000 its reverse (4440444004), we get a palindrome (4008880888004).

The spelling of 4004440444000 in words is "four trillion, four billion, four hundred forty million, four hundred forty-four thousand".