4200340000 has 120 divisors (see below), whose sum is σ = 10438908480. Its totient is φ = 1663008000.

The previous prime is 4200339967. The next prime is 4200340003. The reversal of 4200340000 is 430024.

It is a super-2 number, since 2×4200340000² = 35285712231200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4200340003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2058981 + ... + 2061019.

It is an arithmetic number, because the mean of its divisors is an integer number (86990904).

Almost surely, 2^4200340000 is an apocalyptic number.

4200340000 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 4200340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219454240).

4200340000 is an abundant number, since it is smaller than the sum of its proper divisors (6238568480).

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

4200340000 is a wasteful number, since it uses less digits than its factorization.

4200340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4200340000 is about 64810.0300879424. The cubic root of 4200340000 is about 1613.4721818133.

Adding to 4200340000 its reverse (430024), we get a palindrome (4200770024).

The spelling of 4200340000 in words is "four billion, two hundred million, three hundred forty thousand".