4200224020420 has 12 divisors (see below), whose sum is σ = 8820470442924. Its totient is φ = 1680089608160.

The previous prime is 4200224020409. The next prime is 4200224020427. The reversal of 4200224020420 is 240204220024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1682899074756 + 2517324945664 = 1297266^2 + 1586608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4200224020391 and 4200224020400.

It is not an unprimeable number, because it can be changed into a prime (4200224020427) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 105005600491 + ... + 105005600530.

It is an arithmetic number, because the mean of its divisors is an integer number (735039203577).

Almost surely, 2^{4200224020420} is an apocalyptic number.

It is an amenable number.

4200224020420 is an abundant number, since it is smaller than the sum of its proper divisors (4620246422504).

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

4200224020420 is a wasteful number, since it uses less digits than its factorization.

4200224020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210011201030 (or 210011201028 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4200224020420 its reverse (240204220024), we get a palindrome (4440428240444).

The spelling of 4200224020420 in words is "four trillion, two hundred billion, two hundred twenty-four million, twenty thousand, four hundred twenty".