4442133202000 has 320 divisors, whose sum is σ = 11822385818880. Its totient is φ = 1604199168000.

The previous prime is 4442133201997. The next prime is 4442133202027. The reversal of 4442133202000 is 2023312444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456113131 + ... + 456122869.

It is an arithmetic number, because the mean of its divisors is an integer number (36944955684).

Almost surely, 2^{4442133202000} is an apocalyptic number.

4442133202000 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 4442133202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911192909440).

4442133202000 is an abundant number, since it is smaller than the sum of its proper divisors (7380252616880).

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

4442133202000 is a wasteful number, since it uses less digits than its factorization.

4442133202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159 (or 10143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4442133202000 its reverse (2023312444), we get a palindrome (4444156514444).

The spelling of 4442133202000 in words is "four trillion, four hundred forty-two billion, one hundred thirty-three million, two hundred two thousand".