5144514400 has 144 divisors (see below), whose sum is σ = 12843959184. Its totient is φ = 2011668480.

The previous prime is 5144514371. The next prime is 5144514439. The reversal of 5144514400 is 44154415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8000479 + ... + 8001121.

It is an arithmetic number, because the mean of its divisors is an integer number (89194161).

Almost surely, 2^5144514400 is an apocalyptic number.

5144514400 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 5144514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421979592).

5144514400 is an abundant number, since it is smaller than the sum of its proper divisors (7699444784).

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

5144514400 is a wasteful number, since it uses less digits than its factorization.

5144514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 5144514400 is about 71725.2703027322. The cubic root of 5144514400 is about 1726.2941377337.

Adding to 5144514400 its reverse (44154415), we get a palindrome (5188668815).

It can be divided in two parts, 5144 and 514400, that multiplied together give a square (2646073600 = 51440²).

The spelling of 5144514400 in words is "five billion, one hundred forty-four million, five hundred fourteen thousand, four hundred".