4226442400 has 72 divisors (see below), whose sum is σ = 10343830140. Its totient is φ = 1686312960.

The previous prime is 4226442373. The next prime is 4226442427. The reversal of 4226442400 is 42446224.

It is an interprime number because it is at equal distance from previous prime (4226442373) and next prime (4226442427).

It can be written as a sum of positive squares in 6 ways, for example, as 2638260496 + 1588181904 = 51364^2 + 39852^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320742 + ... + 333658.

Almost surely, 2^4226442400 is an apocalyptic number.

4226442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171915070).

4226442400 is an abundant number, since it is smaller than the sum of its proper divisors (6117387740).

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

4226442400 is a wasteful number, since it uses less digits than its factorization.

4226442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13346 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4226442400 is about 65011.0944377958. The cubic root of 4226442400 is about 1616.8075114948.

Adding to 4226442400 its reverse (42446224), we get a palindrome (4268888624).

The spelling of 4226442400 in words is "four billion, two hundred twenty-six million, four hundred forty-two thousand, four hundred".