4244013120320 has 112 divisors (see below), whose sum is σ = 10202725165248. Its totient is φ = 1681416622080.

The previous prime is 4244013120301. The next prime is 4244013120379. The reversal of 4244013120320 is 230213104424.

4244013120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4244013120320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21827372 + ... + 22020948.

It is an arithmetic number, because the mean of its divisors is an integer number (91095760404).

Almost surely, 2^{4244013120320} is an apocalyptic number.

4244013120320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244013120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101362582624).

4244013120320 is an abundant number, since it is smaller than the sum of its proper divisors (5958712044928).

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

4244013120320 is a wasteful number, since it uses less digits than its factorization.

4244013120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194248 (or 194238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4244013120320 its reverse (230213104424), we get a palindrome (4474226224744).

The spelling of 4244013120320 in words is "four trillion, two hundred forty-four billion, thirteen million, one hundred twenty thousand, three hundred twenty".