4244013413200 has 240 divisors, whose sum is σ = 11259924693696. Its totient is φ = 1524366950400.

The previous prime is 4244013413117. The next prime is 4244013413207. The reversal of 4244013413200 is 23143104424.

4244013413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244013413207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223206894 + ... + 223225906.

Almost surely, 2^{4244013413200} is an apocalyptic number.

4244013413200 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 4244013413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629962346848).

4244013413200 is an abundant number, since it is smaller than the sum of its proper divisors (7015911280496).

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

4244013413200 is a wasteful number, since it uses less digits than its factorization.

4244013413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19662 (or 19651 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4244013413200 its reverse (23143104424), we get a palindrome (4267156517624).

The spelling of 4244013413200 in words is "four trillion, two hundred forty-four billion, thirteen million, four hundred thirteen thousand, two hundred".