430005421712144 has 80 divisors (see below), whose sum is σ = 877669569659520. Its totient is φ = 203689589959680.

The previous prime is 430005421712143. The next prime is 430005421712159. The reversal of 430005421712144 is 441217124500034.

It is a super-5 number, since 5×430005421712144⁵ (a number of 74 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430005421712098 and 430005421712107.

It is not an unprimeable number, because it can be changed into a prime (430005421712143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185054474 + ... + 187363734.

It is an arithmetic number, because the mean of its divisors is an integer number (10970869620744).

Almost surely, 2^{430005421712144} 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 430005421712144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438834784829760).

430005421712144 is an abundant number, since it is smaller than the sum of its proper divisors (447664147947376).

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

430005421712144 is a wasteful number, since it uses less digits than its factorization.

430005421712144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314128 (or 2314122 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 430005421712144 in words is "four hundred thirty trillion, five billion, four hundred twenty-one million, seven hundred twelve thousand, one hundred forty-four".