4134440000 has 140 divisors (see below), whose sum is σ = 10506283788. Its totient is φ = 1612800000.

The previous prime is 4134439999. The next prime is 4134440027. The reversal of 4134440000 is 444314.

It can be written as a sum of positive squares in 10 ways, for example, as 4030726144 + 103713856 = 63488^2 + 10184^2 .

It is a super-2 number, since 2×4134440000² = 34187188227200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1638740 + ... + 1641260.

Almost surely, 2^4134440000 is an apocalyptic number.

4134440000 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 4134440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253141894).

4134440000 is an abundant number, since it is smaller than the sum of its proper divisors (6371843788).

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

4134440000 is an equidigital number, since it uses as much as digits as its factorization.

4134440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4134440000 is about 64299.6111963362. The cubic root of 4134440000 is about 1604.9896318918.

Adding to 4134440000 its reverse (444314), we get a palindrome (4134884314).

The spelling of 4134440000 in words is "four billion, one hundred thirty-four million, four hundred forty thousand".