4244443304112 has 320 divisors, whose sum is σ = 14813148326400. Its totient is φ = 1146823557120.

The previous prime is 4244443304081. The next prime is 4244443304141. The reversal of 4244443304112 is 2114033444424.

4244443304112 is a `hidden beast` number, since 4 + 244 + 44 + 330 + 41 + 1 + 2 = 666.

It is a super-2 number, since 2×4244443304112² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 152248 + ... + 2917544.

It is an arithmetic number, because the mean of its divisors is an integer number (46291088520).

Almost surely, 2^{4244443304112} 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 4244443304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406574163200).

4244443304112 is an abundant number, since it is smaller than the sum of its proper divisors (10568705022288).

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

4244443304112 is a wasteful number, since it uses less digits than its factorization.

4244443304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765361 (or 2765349 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4244443304112 its reverse (2114033444424), we get a palindrome (6358476748536).

The spelling of 4244443304112 in words is "four trillion, two hundred forty-four billion, four hundred forty-three million, three hundred four thousand, one hundred twelve".