4400422224000 has 512 divisors, whose sum is σ = 16426927595520. Its totient is φ = 1032353280000.

The previous prime is 4400422223959. The next prime is 4400422224001. The reversal of 4400422224000 is 4222240044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4400422224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16233579 + ... + 16502421.

It is an arithmetic number, because the mean of its divisors is an integer number (32083842960).

Almost surely, 2^{4400422224000} is an apocalyptic number.

4400422224000 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 4400422224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213463797760).

4400422224000 is an abundant number, since it is smaller than the sum of its proper divisors (12026505371520).

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

4400422224000 is a wasteful number, since it uses less digits than its factorization.

4400422224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268917 (or 268895 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4400422224000 its reverse (4222240044), we get a palindrome (4404644464044).

It can be divided in two parts, 4 and 400422224000, that added together give a palindrome (400422224004).

The spelling of 4400422224000 in words is "four trillion, four hundred billion, four hundred twenty-two million, two hundred twenty-four thousand".