4144789376 has 256 divisors, whose sum is σ = 10627061760. Its totient is φ = 1566867456.

The previous prime is 4144789361. The next prime is 4144789379. The reversal of 4144789376 is 6739874414.

4144789376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144789379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36679496 + ... + 36679608.

It is an arithmetic number, because the mean of its divisors is an integer number (41511960).

Almost surely, 2^4144789376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144789376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313530880).

4144789376 is an abundant number, since it is smaller than the sum of its proper divisors (6482272384).

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

4144789376 is a wasteful number, since it uses less digits than its factorization.

4144789376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 53.

The square root of 4144789376 is about 64380.0386455305. The cubic root of 4144789376 is about 1606.3277252764.

The spelling of 4144789376 in words is "four billion, one hundred forty-four million, seven hundred eighty-nine thousand, three hundred seventy-six".