4222140412224 has 112 divisors (see below), whose sum is σ = 12778985644416. Its totient is φ = 1205188454400.

The previous prime is 4222140412201. The next prime is 4222140412241.

4222140412224 is nontrivially palindromic in base 10.

4222140412224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4222140412191 and 4222140412200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54447 + ... + 2906414.

Almost surely, 2^{4222140412224} 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 4222140412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389492822208).

4222140412224 is an abundant number, since it is smaller than the sum of its proper divisors (8556845232192).

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

4222140412224 is a wasteful number, since it uses less digits than its factorization.

4222140412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961944 (or 2961934 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4222140 and 412224, that added together give a palindrome (4634364).

The spelling of 4222140412224 in words is "four trillion, two hundred twenty-two billion, one hundred forty million, four hundred twelve thousand, two hundred twenty-four".