2444442021104 has 160 divisors (see below), whose sum is σ = 5317984627200. Its totient is φ = 1083639997440.

The previous prime is 2444442021071. The next prime is 2444442021107. The reversal of 2444442021104 is 4011202444442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444442021107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38750069 + ... + 38813099.

It is an arithmetic number, because the mean of its divisors is an integer number (33237403920).

Almost surely, 2^{2444442021104} 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 2444442021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658992313600).

2444442021104 is an abundant number, since it is smaller than the sum of its proper divisors (2873542606096).

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

2444442021104 is a wasteful number, since it uses less digits than its factorization.

2444442021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63223 (or 63217 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 2444442021104 its reverse (4011202444442), we get a palindrome (6455644465546).

The spelling of 2444442021104 in words is "two trillion, four hundred forty-four billion, four hundred forty-two million, twenty-one thousand, one hundred four".