424444711427136 has 189 divisors, whose sum is σ = 1220089141891893. Its totient is φ = 141076286830080.

The previous prime is 424444711427131. The next prime is 424444711427167. The reversal of 424444711427136 is 631724117444424.

The square root of 424444711427136 is 20602056.

It is a perfect power (a square), and thus also a powerful number.

424444711427136 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 4 + 471 + 14 + 27 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2013969692736 + 422430741734400 = 1419144^2 + 20553120^2 .

It is not an unprimeable number, because it can be changed into a prime (424444711427131) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 208163172805 + ... + 208163174843.

Almost surely, 2^{424444711427136} is an apocalyptic number.

424444711427136 is the 20602056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424444711427136

424444711427136 is an abundant number, since it is smaller than the sum of its proper divisors (795644430464757).

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

424444711427136 is an frugal number, since it uses more digits than its factorization.

424444711427136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938 (or 2465 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 424444711427136 in words is "four hundred twenty-four trillion, four hundred forty-four billion, seven hundred eleven million, four hundred twenty-seven thousand, one hundred thirty-six".