4220442400 has 36 divisors (see below), whose sum is σ = 10303156962. Its totient is φ = 1688176640.

The previous prime is 4220442383. The next prime is 4220442403. The reversal of 4220442400 is 42440224.

It can be written as a sum of positive squares in 3 ways, for example, as 3877303824 + 343138576 = 62268^2 + 18524^2 .

It is not an unprimeable number, because it can be changed into a prime (4220442403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2636977 + ... + 2638576.

Almost surely, 2^4220442400 is an apocalyptic number.

4220442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220442400 is an abundant number, since it is smaller than the sum of its proper divisors (6082714562).

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

4220442400 is a wasteful number, since it uses less digits than its factorization.

4220442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275573 (or 5275560 counting only the distinct ones).

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

The square root of 4220442400 is about 64964.9320787762. The cubic root of 4220442400 is about 1616.0420576905.

Adding to 4220442400 its reverse (42440224), we get a palindrome (4262882624).

The spelling of 4220442400 in words is "four billion, two hundred twenty million, four hundred forty-two thousand, four hundred".