4220414140224 has 28 divisors (see below), whose sum is σ = 11166512413184. Its totient is φ = 1406804713344.

The previous prime is 4220414140211. The next prime is 4220414140237.

4220414140224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4220414140211) and next prime (4220414140237).

It is a junction number, because it is equal to n+sod(n) for n = 4220414140191 and 4220414140200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10990661632 + ... + 10990662015.

Almost surely, 2^{4220414140224} is an apocalyptic number.

It is an amenable number.

4220414140224 is an abundant number, since it is smaller than the sum of its proper divisors (6946098272960).

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

4220414140224 is a wasteful number, since it uses less digits than its factorization.

4220414140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21981323662 (or 21981323652 counting only the distinct ones).

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

The spelling of 4220414140224 in words is "four trillion, two hundred twenty billion, four hundred fourteen million, one hundred forty thousand, two hundred twenty-four".