430042144000 has 288 divisors, whose sum is σ = 1227850880256. Its totient is φ = 147019161600.

The previous prime is 430042143967. The next prime is 430042144027. The reversal of 430042144000 is 441240034.

It is a super-2 number, since 2×430042144000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83549427 + ... + 83554573.

It is an arithmetic number, because the mean of its divisors is an integer number (4263371112).

Almost surely, 2^430042144000 is an apocalyptic number.

430042144000 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 430042144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613925440128).

430042144000 is an abundant number, since it is smaller than the sum of its proper divisors (797808736256).

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

430042144000 is an equidigital number, since it uses as much as digits as its factorization.

430042144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 430042144000 its reverse (441240034), we get a palindrome (430483384034).

The spelling of 430042144000 in words is "four hundred thirty billion, forty-two million, one hundred forty-four thousand".