4442112320100 has 1152 divisors, whose sum is σ = 16774356372480. Its totient is φ = 882524160000.

The previous prime is 4442112320083. The next prime is 4442112320131. The reversal of 4442112320100 is 10232112444.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5837203720 + ... + 5837204480.

It is an arithmetic number, because the mean of its divisors is an integer number (14561073240).

Almost surely, 2^{4442112320100} 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 4442112320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387178186240).

4442112320100 is an abundant number, since it is smaller than the sum of its proper divisors (12332244052380).

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

4442112320100 is a wasteful number, since it uses less digits than its factorization.

4442112320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4442112320100 its reverse (10232112444), we get a palindrome (4452344432544).

The spelling of 4442112320100 in words is "four trillion, four hundred forty-two billion, one hundred twelve million, three hundred twenty thousand, one hundred".