432104004200 has 384 divisors, whose sum is σ = 1211579596800. Its totient is φ = 141502464000.

The previous prime is 432104004131. The next prime is 432104004203. The reversal of 432104004200 is 2400401234.

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

It is not an unprimeable number, because it can be changed into a prime (432104004203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84409241 + ... + 84414359.

It is an arithmetic number, because the mean of its divisors is an integer number (3155155200).

Almost surely, 2^432104004200 is an apocalyptic number.

432104004200 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 432104004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605789798400).

432104004200 is an abundant number, since it is smaller than the sum of its proper divisors (779475592600).

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

432104004200 is a wasteful number, since it uses less digits than its factorization.

432104004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 432104004200 its reverse (2400401234), we get a palindrome (434504405434).

The spelling of 432104004200 in words is "four hundred thirty-two billion, one hundred four million, four thousand, two hundred".