430412421456 has 120 divisors (see below), whose sum is σ = 1217276407776. Its totient is φ = 141963736320.

The previous prime is 430412421407. The next prime is 430412421487. The reversal of 430412421456 is 654124214034.

430412421456 is a `hidden beast` number, since 430 + 4 + 1 + 2 + 4 + 214 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 430412421456.

It is a congruent number.

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, 5215491 + ... + 5297373.

Almost surely, 2^430412421456 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 430412421456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608638203888).

430412421456 is an abundant number, since it is smaller than the sum of its proper divisors (786863986320).

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

430412421456 is a wasteful number, since it uses less digits than its factorization.

430412421456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82281 (or 82272 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 430412421456 in words is "four hundred thirty billion, four hundred twelve million, four hundred twenty-one thousand, four hundred fifty-six".