5442424200 has 288 divisors, whose sum is σ = 20023216200. Its totient is φ = 1318625280.

The previous prime is 5442424189. The next prime is 5442424237. The reversal of 5442424200 is 24242445.

It can be written as a sum of positive squares in 12 ways, for example, as 2333469636 + 3108954564 = 48306^2 + 55758^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 884334 + ... + 890466.

Almost surely, 2^5442424200 is an apocalyptic number.

5442424200 is a gapful number since it is divisible by the number (50) 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 5442424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10011608100).

5442424200 is an abundant number, since it is smaller than the sum of its proper divisors (14580792000).

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

5442424200 is a wasteful number, since it uses less digits than its factorization.

5442424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6189 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 5442424200 is about 73772.7876659138. The cubic root of 5442424200 is about 1758.9930750301.

Adding to 5442424200 its reverse (24242445), we get a palindrome (5466666645).

The spelling of 5442424200 in words is "five billion, four hundred forty-two million, four hundred twenty-four thousand, two hundred".