432030042240 has 256 divisors, whose sum is σ = 1437889985280. Its totient is φ = 110128398336.

The previous prime is 432030042229. The next prime is 432030042277. The reversal of 432030042240 is 42240030234.

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 432030042240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130402824 + ... + 130406136.

It is an arithmetic number, because the mean of its divisors is an integer number (5616757755).

Almost surely, 2^432030042240 is an apocalyptic number.

432030042240 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 432030042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718944992640).

432030042240 is an abundant number, since it is smaller than the sum of its proper divisors (1005859943040).

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

432030042240 is a wasteful number, since it uses less digits than its factorization.

432030042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6311 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 432030042240 its reverse (42240030234), we get a palindrome (474270072474).

The spelling of 432030042240 in words is "four hundred thirty-two billion, thirty million, forty-two thousand, two hundred forty".