4144422222144 has 672 divisors, whose sum is σ = 13691417026560. Its totient is φ = 1191482265600.

The previous prime is 4144422222119. The next prime is 4144422222179. The reversal of 4144422222144 is 4412222244414.

4144422222144 is a `hidden beast` number, since 4 + 1 + 4 + 4 + 422 + 2 + 221 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4144422222099 and 4144422222108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475983039 + ... + 475991745.

It is an arithmetic number, because the mean of its divisors is an integer number (20374132480).

Almost surely, 2^{4144422222144} 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 4144422222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845708513280).

4144422222144 is an abundant number, since it is smaller than the sum of its proper divisors (9546994804416).

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

4144422222144 is a wasteful number, since it uses less digits than its factorization.

4144422222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8846 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Adding to 4144422222144 its reverse (4412222244414), we get a palindrome (8556644466558).

The spelling of 4144422222144 in words is "four trillion, one hundred forty-four billion, four hundred twenty-two million, two hundred twenty-two thousand, one hundred forty-four".