424430241234320 has 320 divisors, whose sum is σ = 1032712187904000. Its totient is φ = 162100673280000.

The previous prime is 424430241234319. The next prime is 424430241234341. The reversal of 424430241234320 is 23432142034424.

It is a super-3 number, since 3×424430241234320³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18655442945 + ... + 18655465695.

It is an arithmetic number, because the mean of its divisors is an integer number (3227225587200).

Almost surely, 2^{424430241234320} is an apocalyptic number.

424430241234320 is a gapful number since it is divisible by the number (40) 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 424430241234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516356093952000).

424430241234320 is an abundant number, since it is smaller than the sum of its proper divisors (608281946669680).

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

424430241234320 is a wasteful number, since it uses less digits than its factorization.

424430241234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23534 (or 23528 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 424430241234320 its reverse (23432142034424), we get a palindrome (447862383268744).

The spelling of 424430241234320 in words is "four hundred twenty-four trillion, four hundred thirty billion, two hundred forty-one million, two hundred thirty-four thousand, three hundred twenty".