4125043200 has 480 divisors, whose sum is σ = 14796017280. Its totient is φ = 1009254400.

The previous prime is 4125043187. The next prime is 4125043211. The reversal of 4125043200 is 23405214.

4125043200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46348756 + ... + 46348844.

It is an arithmetic number, because the mean of its divisors is an integer number (30825036).

Almost surely, 2^4125043200 is an apocalyptic number.

4125043200 is a gapful number since it is divisible by the number (40) 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 4125043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398008640).

4125043200 is an abundant number, since it is smaller than the sum of its proper divisors (10670974080).

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

4125043200 is a wasteful number, since it uses less digits than its factorization.

4125043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4125043200 is about 64226.4992039890. The cubic root of 4125043200 is about 1603.7727635837.

Adding to 4125043200 its reverse (23405214), we get a palindrome (4148448414).

The spelling of 4125043200 in words is "four billion, one hundred twenty-five million, forty-three thousand, two hundred".