432430004000 has 96 divisors (see below), whose sum is σ = 1067247207936. Its totient is φ = 172195987200.

The previous prime is 432430003991. The next prime is 432430004087. The reversal of 432430004000 is 400034234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649607 + ... + 1134393.

It is an arithmetic number, because the mean of its divisors is an integer number (11117158416).

Almost surely, 2^432430004000 is an apocalyptic number.

432430004000 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 432430004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533623603968).

432430004000 is an abundant number, since it is smaller than the sum of its proper divisors (634817203936).

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

432430004000 is a wasteful number, since it uses less digits than its factorization.

432430004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485035 (or 485017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 432430004000 its reverse (400034234), we get a palindrome (432830038234).

The spelling of 432430004000 in words is "four hundred thirty-two billion, four hundred thirty million, four thousand".