4200200000 has 84 divisors (see below), whose sum is σ = 10418294124. Its totient is φ = 1680000000.

The previous prime is 4200199981. The next prime is 4200200009. The reversal of 4200200000 is 20024.

It can be written as a sum of positive squares in 6 ways, for example, as 3880791616 + 319408384 = 62296^2 + 17872^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200200009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189500 + ... + 210500.

It is an arithmetic number, because the mean of its divisors is an integer number (124027311).

Almost surely, 2^4200200000 is an apocalyptic number.

4200200000 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 4200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209147062).

4200200000 is an abundant number, since it is smaller than the sum of its proper divisors (6218094124).

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

4200200000 is an frugal number, since it uses more digits than its factorization.

4200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21038 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4200200000 is about 64808.9499992092. The cubic root of 4200200000 is about 1613.4542555966.

Adding to 4200200000 its reverse (20024), we get a palindrome (4200220024).

The spelling of 4200200000 in words is "four billion, two hundred million, two hundred thousand".