4200440000 has 140 divisors (see below), whose sum is σ = 10493191104. Its totient is φ = 1667712000.

The previous prime is 4200439987. The next prime is 4200440003. The reversal of 4200440000 is 440024.

It is a super-3 number, since 3×4200440000³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4200440003) 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, 6919697 + ... + 6920303.

Almost surely, 2^4200440000 is an apocalyptic number.

4200440000 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 4200440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246595552).

4200440000 is an abundant number, since it is smaller than the sum of its proper divisors (6292751104).

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

4200440000 is an equidigital number, since it uses as much as digits as its factorization.

4200440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4200440000 is about 64810.8015688743. The cubic root of 4200440000 is about 1613.4849860099.

Adding to 4200440000 its reverse (440024), we get a palindrome (4200880024).

The spelling of 4200440000 in words is "four billion, two hundred million, four hundred forty thousand".