4200102800 has 60 divisors (see below), whose sum is σ = 10115812740. Its totient is φ = 1675868160.

The previous prime is 4200102761. The next prime is 4200102827. The reversal of 4200102800 is 82010024.

It can be written as a sum of positive squares in 6 ways, for example, as 351637504 + 3848465296 = 18752^2 + 62036^2 .

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 11 ways as a sum of consecutive naturals, for example, 150764 + ... + 176436.

It is an arithmetic number, because the mean of its divisors is an integer number (168596879).

Almost surely, 2^4200102800 is an apocalyptic number.

4200102800 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 4200102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057906370).

4200102800 is an abundant number, since it is smaller than the sum of its proper divisors (5915709940).

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

4200102800 is a wasteful number, since it uses less digits than its factorization.

4200102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26100 (or 26089 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4200102800 is about 64808.2000984443. The cubic root of 4200102800 is about 1613.4418094461.

Adding to 4200102800 its reverse (82010024), we get a palindrome (4282112824).

The spelling of 4200102800 in words is "four billion, two hundred million, one hundred two thousand, eight hundred".