5142004200 has 384 divisors, whose sum is σ = 19463040000. Its totient is φ = 1241982720.

The previous prime is 5142004187. The next prime is 5142004207. The reversal of 5142004200 is 24002415.

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

It is not an unprimeable number, because it can be changed into a prime (5142004207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2358711 + ... + 2360889.

It is an arithmetic number, because the mean of its divisors is an integer number (50685000).

Almost surely, 2^5142004200 is an apocalyptic number.

5142004200 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 5142004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731520000).

5142004200 is an abundant number, since it is smaller than the sum of its proper divisors (14321035800).

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

5142004200 is a wasteful number, since it uses less digits than its factorization.

5142004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5142004200 is about 71707.7694535257. The cubic root of 5142004200 is about 1726.0133176732.

Adding to 5142004200 its reverse (24002415), we get a palindrome (5166006615).

It can be divided in two parts, 514200 and 4200, that added together give a square (518400 = 720²).

The spelling of 5142004200 in words is "five billion, one hundred forty-two million, four thousand, two hundred".