4224442134024 has 576 divisors, whose sum is σ = 14052404620800. Its totient is φ = 1141591449600.

The previous prime is 4224442134001. The next prime is 4224442134067. The reversal of 4224442134024 is 4204312444224.

4224442134024 is a `hidden beast` number, since 4 + 2 + 244 + 4 + 2 + 1 + 3 + 402 + 4 = 666.

It is a super-2 number, since 2×4224442134024² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4224442134024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1167939064 + ... + 1167942680.

It is an arithmetic number, because the mean of its divisors is an integer number (24396535800).

Almost surely, 2^{4224442134024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224442134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026202310400).

4224442134024 is an abundant number, since it is smaller than the sum of its proper divisors (9827962486776).

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

4224442134024 is a wasteful number, since it uses less digits than its factorization.

4224442134024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4224442134024 its reverse (4204312444224), we get a palindrome (8428754578248).

The spelling of 4224442134024 in words is "four trillion, two hundred twenty-four billion, four hundred forty-two million, one hundred thirty-four thousand, twenty-four".