4200052520 has 64 divisors (see below), whose sum is σ = 9828656640. Its totient is φ = 1614009600.

The previous prime is 4200052511. The next prime is 4200052531. The reversal of 4200052520 is 252500024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4200052492 and 4200052501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84905 + ... + 124935.

It is an arithmetic number, because the mean of its divisors is an integer number (153572760).

Almost surely, 2^4200052520 is an apocalyptic number.

4200052520 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 4200052520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914328320).

4200052520 is an abundant number, since it is smaller than the sum of its proper divisors (5628604120).

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

4200052520 is a wasteful number, since it uses less digits than its factorization.

4200052520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40146 (or 40142 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 4200052520 is about 64807.8121834089. The cubic root of 4200052520 is about 1613.4353711769.

Adding to 4200052520 its reverse (252500024), we get a palindrome (4452552544).

The spelling of 4200052520 in words is "four billion, two hundred million, fifty-two thousand, five hundred twenty".