4422306240000 has 3200 divisors, whose sum is σ = 19635314688000. Its totient is φ = 970444800000.

The previous prime is 4422306239993. The next prime is 4422306240047. The reversal of 4422306240000 is 426032244.

4422306240000 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 30 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 55978559961 + ... + 55978560039.

It is an arithmetic number, because the mean of its divisors is an integer number (6136035840).

Almost surely, 2^{4422306240000} is an apocalyptic number.

4422306240000 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 4422306240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817657344000).

4422306240000 is an abundant number, since it is smaller than the sum of its proper divisors (15213008448000).

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

4422306240000 is a wasteful number, since it uses less digits than its factorization.

4422306240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 4422306240000 in words is "four trillion, four hundred twenty-two billion, three hundred six million, two hundred forty thousand".