432301240000 has 280 divisors, whose sum is σ = 1228506377120. Its totient is φ = 147806208000.

The previous prime is 432301239973. The next prime is 432301240013. The reversal of 432301240000 is 42103234.

It is a tau number, because it is divible by the number of its divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 432301240000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111158056 + ... + 111161944.

Almost surely, 2^432301240000 is an apocalyptic number.

432301240000 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 432301240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614253188560).

432301240000 is an abundant number, since it is smaller than the sum of its proper divisors (796205137120).

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

432301240000 is an equidigital number, since it uses as much as digits as its factorization.

432301240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 432301240000 its reverse (42103234), we get a palindrome (432343343234).

The spelling of 432301240000 in words is "four hundred thirty-two billion, three hundred one million, two hundred forty thousand".