4144135000 has 80 divisors (see below), whose sum is σ = 9732353400. Its totient is φ = 1653792000.

The previous prime is 4144134997. The next prime is 4144135091. The reversal of 4144135000 is 5314414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3214356 + ... + 3215644.

Almost surely, 2^4144135000 is an apocalyptic number.

4144135000 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 4144135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866176700).

4144135000 is an abundant number, since it is smaller than the sum of its proper divisors (5588218400).

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

4144135000 is a wasteful number, since it uses less digits than its factorization.

4144135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4144135000 is about 64374.9563106648. The cubic root of 4144135000 is about 1606.2431855858.

Adding to 4144135000 its reverse (5314414), we get a palindrome (4149449414).

The spelling of 4144135000 in words is "four billion, one hundred forty-four million, one hundred thirty-five thousand".