4304004144 has 160 divisors (see below), whose sum is σ = 12674188800. Its totient is φ = 1246586880.

The previous prime is 4304004139. The next prime is 4304004149. The reversal of 4304004144 is 4414004034.

It is an interprime number because it is at equal distance from previous prime (4304004139) and next prime (4304004149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4304004149) 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, 1575772 + ... + 1578500.

It is an arithmetic number, because the mean of its divisors is an integer number (79213680).

Almost surely, 2^4304004144 is an apocalyptic number.

4304004144 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 4304004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337094400).

4304004144 is an abundant number, since it is smaller than the sum of its proper divisors (8370184656).

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

4304004144 is a wasteful number, since it uses less digits than its factorization.

4304004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4304004144 is about 65604.9094504367. The cubic root of 4304004144 is about 1626.6379248557.

Adding to 4304004144 its reverse (4414004034), we get a palindrome (8718008178).

The spelling of 4304004144 in words is "four billion, three hundred four million, four thousand, one hundred forty-four".