430144340000000 has 144 divisors (see below), whose sum is σ = 1073257838195088. Its totient is φ = 172057728000000.

The previous prime is 430144339999993. The next prime is 430144340000017. The reversal of 430144340000000 is 43441034.

It can be written as a sum of positive squares in 8 ways, for example, as 333390204568576 + 96754135431424 = 18258976^2 + 9836368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9246392 + ... + 30753608.

Almost surely, 2^{430144340000000} is an apocalyptic number.

430144340000000 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 430144340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536628919097544).

430144340000000 is an abundant number, since it is smaller than the sum of its proper divisors (643113498195088).

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

430144340000000 is an frugal number, since it uses more digits than its factorization.

430144340000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21507268 (or 21507224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 430144340000000 its reverse (43441034), we get a palindrome (430144383441034).

The spelling of 430144340000000 in words is "four hundred thirty trillion, one hundred forty-four billion, three hundred forty million", and thus it is an aban number.