4442160022300 has 864 divisors, whose sum is σ = 13322791731200. Its totient is φ = 1250741606400.

The previous prime is 4442160022249. The next prime is 4442160022361. The reversal of 4442160022300 is 32200612444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19398078586 + ... + 19398078814.

Almost surely, 2^{4442160022300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442160022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661395865600).

4442160022300 is an abundant number, since it is smaller than the sum of its proper divisors (8880631708900).

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

4442160022300 is a wasteful number, since it uses less digits than its factorization.

4442160022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4442160022300 its reverse (32200612444), we get a palindrome (4474360634744).

The spelling of 4442160022300 in words is "four trillion, four hundred forty-two billion, one hundred sixty million, twenty-two thousand, three hundred".