430242113224 has 96 divisors (see below), whose sum is σ = 1014923851200. Its totient is φ = 167371459200.

The previous prime is 430242113209. The next prime is 430242113261. The reversal of 430242113224 is 422311242034.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 430242113192 and 430242113201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4430907 + ... + 4526965.

It is an arithmetic number, because the mean of its divisors is an integer number (10572123450).

Almost surely, 2^430242113224 is an apocalyptic number.

430242113224 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 430242113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507461925600).

430242113224 is an abundant number, since it is smaller than the sum of its proper divisors (584681737976).

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

430242113224 is a wasteful number, since it uses less digits than its factorization.

430242113224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96755 (or 96740 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 430242113224 its reverse (422311242034), we get a palindrome (852553355258).

The spelling of 430242113224 in words is "four hundred thirty billion, two hundred forty-two million, one hundred thirteen thousand, two hundred twenty-four".