4444404004000 has 96 divisors (see below), whose sum is σ = 10948415901696. Its totient is φ = 1773119315200.

The previous prime is 4444404003989. The next prime is 4444404004021. The reversal of 4444404004000 is 4004044444.

It is a self number, because there is not a number n which added to its sum of digits gives 4444404004000.

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, 81477 + ... + 2982523.

It is an arithmetic number, because the mean of its divisors is an integer number (114045998976).

Almost surely, 2^{4444404004000} is an apocalyptic number.

4444404004000 is a gapful number since it is divisible by the number (40) 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 4444404004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474207950848).

4444404004000 is an abundant number, since it is smaller than the sum of its proper divisors (6504011897696).

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

4444404004000 is a wasteful number, since it uses less digits than its factorization.

4444404004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901455 (or 2901437 counting only the distinct ones).

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

Adding to 4444404004000 its reverse (4004044444), we get a palindrome (4448408048444).

The spelling of 4444404004000 in words is "four trillion, four hundred forty-four billion, four hundred four million, four thousand".