4144114304 has 64 divisors (see below), whose sum is σ = 9115152480. Its totient is φ = 1860940800.

The previous prime is 4144114283. The next prime is 4144114307. The reversal of 4144114304 is 4034114414.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4144114307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99134 + ... + 134594.

Almost surely, 2^4144114304 is an apocalyptic number.

4144114304 is a gapful number since it is divisible by the number (44) 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 4144114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557576240).

4144114304 is an abundant number, since it is smaller than the sum of its proper divisors (4971038176).

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

4144114304 is a wasteful number, since it uses less digits than its factorization.

4144114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35569 (or 35557 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 4144114304 is about 64374.7955647239. The cubic root of 4144114304 is about 1606.2405116973.

Adding to 4144114304 its reverse (4034114414), we get a palindrome (8178228718).

The spelling of 4144114304 in words is "four billion, one hundred forty-four million, one hundred fourteen thousand, three hundred four".