4130144304 has 240 divisors, whose sum is σ = 13299148800. Its totient is φ = 1094100480.

The previous prime is 4130144297. The next prime is 4130144341. The reversal of 4130144304 is 4034410314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1433137 + ... + 1436015.

It is an arithmetic number, because the mean of its divisors is an integer number (55413120).

Almost surely, 2^4130144304 is an apocalyptic number.

4130144304 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 4130144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649574400).

4130144304 is an abundant number, since it is smaller than the sum of its proper divisors (9169004496).

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

4130144304 is a wasteful number, since it uses less digits than its factorization.

4130144304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4130144304 is about 64266.1987673147. The cubic root of 4130144304 is about 1604.4335761955.

Adding to 4130144304 its reverse (4034410314), we get a palindrome (8164554618).

The spelling of 4130144304 in words is "four billion, one hundred thirty million, one hundred forty-four thousand, three hundred four".