5130140400 has 960 divisors, whose sum is σ = 23617536000. Its totient is φ = 1026432000.

The previous prime is 5130140357. The next prime is 5130140401. The reversal of 5130140400 is 40410315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130140401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25779501 + ... + 25779699.

It is an arithmetic number, because the mean of its divisors is an integer number (24601600).

Almost surely, 2^5130140400 is an apocalyptic number.

5130140400 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 5130140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11808768000).

5130140400 is an abundant number, since it is smaller than the sum of its proper divisors (18487395600).

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

5130140400 is a wasteful number, since it uses less digits than its factorization.

5130140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5130140400 is about 71624.9984293194. The cubic root of 5130140400 is about 1724.6848573635.

Adding to 5130140400 its reverse (40410315), we get a palindrome (5170550715).

It can be divided in two parts, 5130 and 140400, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 5130140400 in words is "five billion, one hundred thirty million, one hundred forty thousand, four hundred".