4144003104 has 96 divisors (see below), whose sum is σ = 11394794880. Its totient is φ = 1316175872.

The previous prime is 4144003099. The next prime is 4144003109. The reversal of 4144003104 is 4013004414.

It is an interprime number because it is at equal distance from previous prime (4144003099) and next prime (4144003109).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4144003109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590464 + ... + 597440.

It is an arithmetic number, because the mean of its divisors is an integer number (118695780).

Almost surely, 2^4144003104 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 4144003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697397440).

4144003104 is an abundant number, since it is smaller than the sum of its proper divisors (7250791776).

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

4144003104 is a wasteful number, since it uses less digits than its factorization.

4144003104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4144003104 is about 64373.9318668667. The cubic root of 4144003104 is about 1606.2261446916.

Adding to 4144003104 its reverse (4013004414), we get a palindrome (8157007518).

The spelling of 4144003104 in words is "four billion, one hundred forty-four million, three thousand, one hundred four".