430530131302040 has 256 divisors, whose sum is σ = 1208528875008000. Its totient is φ = 134101468385280.

The previous prime is 430530131301997. The next prime is 430530131302109. The reversal of 430530131302040 is 40203131035034.

It is a junction number, because it is equal to n+sod(n) for n = 430530131301994 and 430530131302012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40202640206 + ... + 40202650914.

It is an arithmetic number, because the mean of its divisors is an integer number (4720815918000).

Almost surely, 2^{430530131302040} is an apocalyptic number.

430530131302040 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 430530131302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604264437504000).

430530131302040 is an abundant number, since it is smaller than the sum of its proper divisors (777998743705960).

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

430530131302040 is a wasteful number, since it uses less digits than its factorization.

430530131302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18250 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 430530131302040 its reverse (40203131035034), we get a palindrome (470733262337074).

The spelling of 430530131302040 in words is "four hundred thirty trillion, five hundred thirty billion, one hundred thirty-one million, three hundred two thousand, forty".