4220410000 has 50 divisors (see below), whose sum is σ = 10218058862. Its totient is φ = 1688160000.

The previous prime is 4220409983. The next prime is 4220410009. The reversal of 4220410000 is 140224.

4220410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 2749534096 + 1470875904 = 52436^2 + 38352^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (4220410009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 201021 + ... + 221020.

Almost surely, 2^4220410000 is an apocalyptic number.

4220410000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220410000 is an abundant number, since it is smaller than the sum of its proper divisors (5997648862).

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

4220410000 is an equidigital number, since it uses as much as digits as its factorization.

4220410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422069 (or 422048 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4220410000 is about 64964.6827129941. The cubic root of 4220410000 is about 1616.0379222712.

Adding to 4220410000 its reverse (140224), we get a palindrome (4220550224).

The spelling of 4220410000 in words is "four billion, two hundred twenty million, four hundred ten thousand".