4200220220441 has 12 divisors (see below), whose sum is σ = 5173380488628. Its totient is φ = 3388412950272.

The previous prime is 4200220220431. The next prime is 4200220220513. The reversal of 4200220220441 is 1440220220024.

It can be written as a sum of positive squares in 2 ways, for example, as 2774156736400 + 1426063484041 = 1665580^2 + 1194179^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4200220220441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4200220220401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2521139756 + ... + 2521141421.

It is an arithmetic number, because the mean of its divisors is an integer number (431115040719).

Almost surely, 2^{4200220220441} is an apocalyptic number.

It is an amenable number.

4200220220441 is a deficient number, since it is larger than the sum of its proper divisors (973160268187).

4200220220441 is a wasteful number, since it uses less digits than its factorization.

4200220220441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042281208 (or 5042281201 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 4200220220441 its reverse (1440220220024), we get a palindrome (5640440440465).

The spelling of 4200220220441 in words is "four trillion, two hundred billion, two hundred twenty million, two hundred twenty thousand, four hundred forty-one".