432324042440 has 64 divisors (see below), whose sum is σ = 996836546160. Its totient is φ = 168647086080.

The previous prime is 432324042433. The next prime is 432324042463. The reversal of 432324042440 is 44240423234.

It can be written as a sum of positive squares in 8 ways, for example, as 8134957636 + 424189084804 = 90194^2 + 651298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 432324042397 and 432324042406.

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 15 ways as a sum of consecutive naturals, for example, 4341044 + ... + 4439516.

Almost surely, 2^432324042440 is an apocalyptic number.

432324042440 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 432324042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498418273080).

432324042440 is an abundant number, since it is smaller than the sum of its proper divisors (564512503720).

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

432324042440 is a wasteful number, since it uses less digits than its factorization.

432324042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101202 (or 101198 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 432324042440 its reverse (44240423234), we get a palindrome (476564465674).

The spelling of 432324042440 in words is "four hundred thirty-two billion, three hundred twenty-four million, forty-two thousand, four hundred forty".