4224242422400 has 1152 divisors, whose sum is σ = 14268822986880. Its totient is φ = 1202319360000.

The previous prime is 4224242422363. The next prime is 4224242422429. The reversal of 4224242422400 is 42242424224.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3558754607 + ... + 3558755793.

It is an arithmetic number, because the mean of its divisors is an integer number (12386131065).

Almost surely, 2^{4224242422400} is an apocalyptic number.

4224242422400 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 4224242422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134411493440).

4224242422400 is an abundant number, since it is smaller than the sum of its proper divisors (10044580564480).

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

4224242422400 is a wasteful number, since it uses less digits than its factorization.

4224242422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4224242422400 its reverse (42242424224), we get a palindrome (4266484846624).

4224242422400 divided by its reverse (42242424224) gives a square (100 = 10²).

The spelling of 4224242422400 in words is "four trillion, two hundred twenty-four billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred".