5442307200 has 576 divisors, whose sum is σ = 21753295200. Its totient is φ = 1284096000.

The previous prime is 5442307183. The next prime is 5442307201. The reversal of 5442307200 is 27032445.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (5442307201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12988591 + ... + 12989009.

Almost surely, 2^5442307200 is an apocalyptic number.

5442307200 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 5442307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10876647600).

5442307200 is an abundant number, since it is smaller than the sum of its proper divisors (16310988000).

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

5442307200 is a wasteful number, since it uses less digits than its factorization.

5442307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5442307200 is about 73771.9946863307. The cubic root of 5442307200 is about 1758.9804701285.

Adding to 5442307200 its reverse (27032445), we get a palindrome (5469339645).

The spelling of 5442307200 in words is "five billion, four hundred forty-two million, three hundred seven thousand, two hundred".