5121338400 has 360 divisors, whose sum is σ = 19779398100. Its totient is φ = 1285079040.

The previous prime is 5121338393. The next prime is 5121338407. The reversal of 5121338400 is 48331215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5121338393) and next prime (5121338407).

It can be written as a sum of positive squares in 6 ways, for example, as 4110861456 + 1010476944 = 64116^2 + 31788^2 .

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 not an unprimeable number, because it can be changed into a prime (5121338407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1099276 + ... + 1103924.

Almost surely, 2^5121338400 is an apocalyptic number.

5121338400 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 5121338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889699050).

5121338400 is an abundant number, since it is smaller than the sum of its proper divisors (14658059700).

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

5121338400 is a wasteful number, since it uses less digits than its factorization.

5121338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5121338400 is about 71563.5270231981. The cubic root of 5121338400 is about 1723.6979209927.

Adding to 5121338400 its reverse (48331215), we get a palindrome (5169669615).

The spelling of 5121338400 in words is "five billion, one hundred twenty-one million, three hundred thirty-eight thousand, four hundred".