4059400000 has 84 divisors (see below), whose sum is σ = 10069066476. Its totient is φ = 1623680000.

The previous prime is 4059399991. The next prime is 4059400013. The reversal of 4059400000 is 49504.

4059400000 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 6 ways, for example, as 3386308864 + 673091136 = 58192^2 + 25944^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189852 + ... + 210148.

It is an arithmetic number, because the mean of its divisors is an integer number (119869839).

Almost surely, 2^4059400000 is an apocalyptic number.

4059400000 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 4059400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034533238).

4059400000 is an abundant number, since it is smaller than the sum of its proper divisors (6009666476).

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

4059400000 is an frugal number, since it uses more digits than its factorization.

4059400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20334 (or 20304 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4059400000 is about 63713.4208781792. The cubic root of 4059400000 is about 1595.2201096248.

Adding to 4059400000 its reverse (49504), we get a palindrome (4059449504).

The spelling of 4059400000 in words is "four billion, fifty-nine million, four hundred thousand".