430131242040 has 128 divisors (see below), whose sum is σ = 1297561446720. Its totient is φ = 114065100800.

The previous prime is 430131242033. The next prime is 430131242059. The reversal of 430131242040 is 40242131034.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 430131242040.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 84652300 + ... + 84657380.

Almost surely, 2^430131242040 is an apocalyptic number.

430131242040 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 430131242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648780723360).

430131242040 is an abundant number, since it is smaller than the sum of its proper divisors (867430204680).

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

430131242040 is a wasteful number, since it uses less digits than its factorization.

430131242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 430131242040 its reverse (40242131034), we get a palindrome (470373373074).

The spelling of 430131242040 in words is "four hundred thirty billion, one hundred thirty-one million, two hundred forty-two thousand, forty".