4205000000 has 168 divisors, whose sum is σ = 10802413752. Its totient is φ = 1624000000.

The previous prime is 4204999987. The next prime is 4205000003. The reversal of 4205000000 is 5024.

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.

It can be written as a sum of positive squares in 12 ways, for example, as 1769380096 + 2435619904 = 42064^2 + 49352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205000003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144999986 + ... + 145000014.

Almost surely, 2^4205000000 is an apocalyptic number.

4205000000 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 4205000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401206876).

4205000000 is an abundant number, since it is smaller than the sum of its proper divisors (6597413752).

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

4205000000 is an frugal number, since it uses more digits than its factorization.

4205000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4205000000 is about 64845.9713474939. The cubic root of 4205000000 is about 1614.0686415879.

Adding to 4205000000 its reverse (5024), we get a palindrome (4205005024).

The spelling of 4205000000 in words is "four billion, two hundred five million", and thus it is an aban number.