5414125200 has 480 divisors, whose sum is σ = 19874156544. Its totient is φ = 1248000000.

The previous prime is 5414125187. The next prime is 5414125229. The reversal of 5414125200 is 25214145.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41329135 + ... + 41329265.

Almost surely, 2^5414125200 is an apocalyptic number.

5414125200 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 5414125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937078272).

5414125200 is an abundant number, since it is smaller than the sum of its proper divisors (14460031344).

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

5414125200 is a wasteful number, since it uses less digits than its factorization.

5414125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5414125200 is about 73580.7393276257. The cubic root of 5414125200 is about 1755.9390271878.

Adding to 5414125200 its reverse (25214145), we get a palindrome (5439339345).

The spelling of 5414125200 in words is "five billion, four hundred fourteen million, one hundred twenty-five thousand, two hundred".