4200500325200 has 240 divisors, whose sum is σ = 10554695289600. Its totient is φ = 1604481177600.

The previous prime is 4200500325173. The next prime is 4200500325277. The reversal of 4200500325200 is 25230050024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436955594 + ... + 436965206.

It is an arithmetic number, because the mean of its divisors is an integer number (43977897040).

Almost surely, 2^{4200500325200} is an apocalyptic number.

4200500325200 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 4200500325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277347644800).

4200500325200 is an abundant number, since it is smaller than the sum of its proper divisors (6354194964400).

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

4200500325200 is a wasteful number, since it uses less digits than its factorization.

4200500325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10070 (or 10059 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

Adding to 4200500325200 its reverse (25230050024), we get a palindrome (4225730375224).

The spelling of 4200500325200 in words is "four trillion, two hundred billion, five hundred million, three hundred twenty-five thousand, two hundred".