4242221244000 has 288 divisors, whose sum is σ = 15405780053664. Its totient is φ = 1104950246400.

The previous prime is 4242221243983. The next prime is 4242221244007. The reversal of 4242221244000 is 4421222424.

4242221244000 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 2 + 212 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242221244007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177774 + ... + 2918226.

It is an arithmetic number, because the mean of its divisors is an integer number (53492291853).

Almost surely, 2^{4242221244000} is an apocalyptic number.

4242221244000 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 4242221244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702890026832).

4242221244000 is an abundant number, since it is smaller than the sum of its proper divisors (11163558809664).

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

4242221244000 is a wasteful number, since it uses less digits than its factorization.

4242221244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740527 (or 2740506 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4242221244000 its reverse (4421222424), we get a palindrome (4246642466424).

The spelling of 4242221244000 in words is "four trillion, two hundred forty-two billion, two hundred twenty-one million, two hundred forty-four thousand".