432180000000 has 1080 divisors, whose sum is σ = 1817089391208. Its totient is φ = 98784000000.

The previous prime is 432179999957. The next prime is 432180000071. The reversal of 432180000000 is 81234.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 427527668736 + 4652331264 = 653856^2 + 68208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61739999997 + ... + 61740000003.

Almost surely, 2^432180000000 is an apocalyptic number.

432180000000 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 432180000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908544695604).

432180000000 is an abundant number, since it is smaller than the sum of its proper divisors (1384909391208).

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

432180000000 is an frugal number, since it uses more digits than its factorization.

432180000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 432180000000 its reverse (81234), we get a palindrome (432180081234).

The spelling of 432180000000 in words is "four hundred thirty-two billion, one hundred eighty million", and thus it is an aban number.