200042000000 has 224 divisors, whose sum is σ = 515471917500. Its totient is φ = 77235200000.

The previous prime is 200041999987. The next prime is 200042000009. The reversal of 200042000000 is 240002.

200042000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 199994995264 + 47004736 = 447208^2 + 6856^2 .

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

It is not an unprimeable number, because it can be changed into a prime (200042000009) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 57998276 + ... + 58001724.

Almost surely, 2^200042000000 is an apocalyptic number.

200042000000 is a gapful number since it is divisible by the number (20) 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 200042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257735958750).

200042000000 is an abundant number, since it is smaller than the sum of its proper divisors (315429917500).

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

200042000000 is an frugal number, since it uses more digits than its factorization.

200042000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3485 counting only the distinct ones).

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

Adding to 200042000000 its reverse (240002), we get a palindrome (200042240002).

The spelling of 200042000000 in words is "two hundred billion, forty-two million", and thus it is an aban number.