4444004004000 has 192 divisors, whose sum is σ = 15882062781312. Its totient is φ = 1077334272000.

The previous prime is 4444004003941. The next prime is 4444004004019. The reversal of 4444004004000 is 4004004444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16701349 + ... + 16965348.

It is an arithmetic number, because the mean of its divisors is an integer number (82719076986).

Almost surely, 2^{4444004004000} is an apocalyptic number.

4444004004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444004004000 is an abundant number, since it is smaller than the sum of its proper divisors (11438058777312).

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

4444004004000 is a wasteful number, since it uses less digits than its factorization.

4444004004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666736 (or 33666718 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4444004004000 its reverse (4004004444), we get a palindrome (4448008008444).

The spelling of 4444004004000 in words is "four trillion, four hundred forty-four billion, four million, four thousand".