430505140130000 has 800 divisors, whose sum is σ = 1196374750032000. Its totient is φ = 148708224000000.

The previous prime is 430505140129927. The next prime is 430505140130011. The reversal of 430505140130000 is 31041505034.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105026867951 + ... + 105026872049.

It is an arithmetic number, because the mean of its divisors is an integer number (1495468437540).

Almost surely, 2^{430505140130000} is an apocalyptic number.

430505140130000 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 430505140130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598187375016000).

430505140130000 is an abundant number, since it is smaller than the sum of its proper divisors (765869609902000).

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

430505140130000 is a wasteful number, since it uses less digits than its factorization.

430505140130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 430505140130000 its reverse (31041505034), we get a palindrome (430536181635034).

The spelling of 430505140130000 in words is "four hundred thirty trillion, five hundred five billion, one hundred forty million, one hundred thirty thousand".