4224344212400 has 180 divisors, whose sum is σ = 11286757904832. Its totient is φ = 1517601346560.

The previous prime is 4224344212381. The next prime is 4224344212507. The reversal of 4224344212400 is 42124434224.

4224344212400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1656737 + ... + 3345663.

Almost surely, 2^{4224344212400} is an apocalyptic number.

4224344212400 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 4224344212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643378952416).

4224344212400 is an abundant number, since it is smaller than the sum of its proper divisors (7062413692432).

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

4224344212400 is a wasteful number, since it uses less digits than its factorization.

4224344212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689008 (or 1688984 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4224344212400 its reverse (42124434224), we get a palindrome (4266468646624).

The spelling of 4224344212400 in words is "four trillion, two hundred twenty-four billion, three hundred forty-four million, two hundred twelve thousand, four hundred".