5144252400 has 180 divisors, whose sum is σ = 20402368272. Its totient is φ = 1175823360.

The previous prime is 5144252363. The next prime is 5144252431. The reversal of 5144252400 is 42524415.

5144252400 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 252 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76869 + ... + 127268.

Almost surely, 2^5144252400 is an apocalyptic number.

5144252400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5144252400 is an abundant number, since it is smaller than the sum of its proper divisors (15258115872).

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

5144252400 is a wasteful number, since it uses less digits than its factorization.

5144252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204168 (or 204154 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5144252400 is about 71723.4438660052. The cubic root of 5144252400 is about 1726.2648316478.

Adding to 5144252400 its reverse (42524415), we get a palindrome (5186776815).

The spelling of 5144252400 in words is "five billion, one hundred forty-four million, two hundred fifty-two thousand, four hundred".