4430241141300 has 216 divisors, whose sum is σ = 14957749189656. Its totient is φ = 1090285793280.

The previous prime is 4430241141289. The next prime is 4430241141367. The reversal of 4430241141300 is 31411420344.

4430241141300 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 241 + 1 + 413 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2556091093284 + 1874150048016 = 1598778^2 + 1368996^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57724552 + ... + 57801248.

It is an arithmetic number, because the mean of its divisors is an integer number (69248838841).

Almost surely, 2^{4430241141300} 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 4430241141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478874594828).

4430241141300 is an abundant number, since it is smaller than the sum of its proper divisors (10527508048356).

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

4430241141300 is a wasteful number, since it uses less digits than its factorization.

4430241141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81667 (or 81657 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4430241141300 its reverse (31411420344), we get a palindrome (4461652561644).

The spelling of 4430241141300 in words is "four trillion, four hundred thirty billion, two hundred forty-one million, one hundred forty-one thousand, three hundred".