430221120024 has 128 divisors (see below), whose sum is σ = 1129895424000. Its totient is φ = 136248013440.

The previous prime is 430221120013. The next prime is 430221120031. The reversal of 430221120024 is 420021122034.

It is a super-2 number, since 2×430221120024² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70629219 + ... + 70635309.

It is an arithmetic number, because the mean of its divisors is an integer number (8827308000).

Almost surely, 2^430221120024 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 430221120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564947712000).

430221120024 is an abundant number, since it is smaller than the sum of its proper divisors (699674303976).

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

430221120024 is a wasteful number, since it uses less digits than its factorization.

430221120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6965 (or 6961 counting only the distinct ones).

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

Adding to 430221120024 its reverse (420021122034), we get a palindrome (850242242058).

The spelling of 430221120024 in words is "four hundred thirty billion, two hundred twenty-one million, one hundred twenty thousand, twenty-four".