430020330012 has 576 divisors, whose sum is σ = 1452677990400. Its totient is φ = 104091402240.

The previous prime is 430020329951. The next prime is 430020330017. The reversal of 430020330012 is 210033020034.

430020330012 is a `hidden beast` number, since 4 + 300 + 20 + 330 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430020330017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 426184164 + ... + 426185172.

It is an arithmetic number, because the mean of its divisors is an integer number (2522010400).

Almost surely, 2^430020330012 is an apocalyptic number.

430020330012 is a gapful number since it is divisible by the number (42) 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 430020330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726338995200).

430020330012 is an abundant number, since it is smaller than the sum of its proper divisors (1022657660388).

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

430020330012 is a wasteful number, since it uses less digits than its factorization.

430020330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 430020330012 its reverse (210033020034), we get a palindrome (640053350046).

The spelling of 430020330012 in words is "four hundred thirty billion, twenty million, three hundred thirty thousand, twelve".