4442114424000 has 448 divisors, whose sum is σ = 16843496716800. Its totient is φ = 1020197376000.

The previous prime is 4442114423959. The next prime is 4442114424029. The reversal of 4442114424000 is 4244112444.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 4573206 + ... + 5458794.

Almost surely, 2^{4442114424000} is an apocalyptic number.

4442114424000 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 4442114424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421748358400).

4442114424000 is an abundant number, since it is smaller than the sum of its proper divisors (12401382292800).

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

4442114424000 is a wasteful number, since it uses less digits than its factorization.

4442114424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885649 (or 885629 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 4442114424000 its reverse (4244112444), we get a palindrome (4446358536444).

The spelling of 4442114424000 in words is "four trillion, four hundred forty-two billion, one hundred fourteen million, four hundred twenty-four thousand".