5144353200 has 360 divisors, whose sum is σ = 21301679760. Its totient is φ = 1175731200.

The previous prime is 5144353171. The next prime is 5144353229. The reversal of 5144353200 is 23534415.

It is an interprime number because it is at equal distance from previous prime (5144353171) and next prime (5144353229).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 524340 + ... + 534060.

Almost surely, 2^5144353200 is an apocalyptic number.

5144353200 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 5144353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650839880).

5144353200 is an abundant number, since it is smaller than the sum of its proper divisors (16157326560).

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

5144353200 is a wasteful number, since it uses less digits than its factorization.

5144353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9762 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5144353200 is about 71724.1465616706. The cubic root of 5144353200 is about 1726.2761067788.

Adding to 5144353200 its reverse (23534415), we get a palindrome (5167887615).

The spelling of 5144353200 in words is "five billion, one hundred forty-four million, three hundred fifty-three thousand, two hundred".