4200789600 has 720 divisors, whose sum is σ = 17942757840. Its totient is φ = 960180480.

The previous prime is 4200789559. The next prime is 4200789611. The reversal of 4200789600 is 69870024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4200789600 is a `hidden beast` number, since 42 + 0 + 0 + 7 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 600112797 + ... + 600112803.

It is an arithmetic number, because the mean of its divisors is an integer number (24920497).

Almost surely, 2^4200789600 is an apocalyptic number.

4200789600 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 4200789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971378920).

4200789600 is an abundant number, since it is smaller than the sum of its proper divisors (13741968240).

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

4200789600 is an frugal number, since it uses more digits than its factorization.

4200789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4200789600 is about 64813.4985940429. The cubic root of 4200789600 is about 1613.5297478842.

The spelling of 4200789600 in words is "four billion, two hundred million, seven hundred eighty-nine thousand, six hundred".