430240556600880 has 480 divisors, whose sum is σ = 1421100281260800. Its totient is φ = 107631158249472.

The previous prime is 430240556600851. The next prime is 430240556600891. The reversal of 430240556600880 is 88006655042034.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20314478131 + ... + 20314499309.

It is an arithmetic number, because the mean of its divisors is an integer number (2960625585960).

Almost surely, 2^{430240556600880} is an apocalyptic number.

430240556600880 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 430240556600880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710550140630400).

430240556600880 is an abundant number, since it is smaller than the sum of its proper divisors (990859724659920).

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

430240556600880 is a wasteful number, since it uses less digits than its factorization.

430240556600880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24313 (or 24284 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 430240556600880 in words is "four hundred thirty trillion, two hundred forty billion, five hundred fifty-six million, six hundred thousand, eight hundred eighty".