4222444424000 has 224 divisors, whose sum is σ = 11411381060352. Its totient is φ = 1534913280000.

The previous prime is 4222444423991. The next prime is 4222444424021. The reversal of 4222444424000 is 4244442224.

4222444424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339937790 + ... + 339950210.

It is an arithmetic number, because the mean of its divisors is an integer number (50943665448).

Almost surely, 2^{4222444424000} is an apocalyptic number.

4222444424000 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 4222444424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705690530176).

4222444424000 is an abundant number, since it is smaller than the sum of its proper divisors (7188936636352).

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

4222444424000 is a wasteful number, since it uses less digits than its factorization.

4222444424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16322 (or 16302 counting only the distinct ones).

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

Adding to 4222444424000 its reverse (4244442224), we get a palindrome (4226688866224).

The spelling of 4222444424000 in words is "four trillion, two hundred twenty-two billion, four hundred forty-four million, four hundred twenty-four thousand".