4200000000 has 360 divisors, whose sum is σ = 15984366816. Its totient is φ = 960000000.

The previous prime is 4199999929. The next prime is 4200000037. The reversal of 4200000000 is 24.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2500 × 700 × 2400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 599999997 + ... + 600000003.

Almost surely, 2^4200000000 is an apocalyptic number.

4200000000 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 4200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992183408).

4200000000 is an abundant number, since it is smaller than the sum of its proper divisors (11784366816).

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

4200000000 is an frugal number, since it uses more digits than its factorization.

4200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 4200000000 is about 64807.4069840786. The cubic root of 4200000000 is about 1613.4286460245.

Adding to 4200000000 its reverse (24), we get a palindrome (4200000024).

The spelling of 4200000000 in words is "four billion, two hundred million", and thus it is an aban number.