432427806720 has 1872 divisors, whose sum is σ = 1957787919360. Its totient is φ = 87397761024.

The previous prime is 432427806661. The next prime is 432427806721. The reversal of 432427806720 is 27608724234.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (432427806721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3404943297 + ... + 3404943423.

It is an arithmetic number, because the mean of its divisors is an integer number (1045826880).

Almost surely, 2^432427806720 is an apocalyptic number.

432427806720 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 432427806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978893959680).

432427806720 is an abundant number, since it is smaller than the sum of its proper divisors (1525360112640).

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

432427806720 is a wasteful number, since it uses less digits than its factorization.

432427806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 432427806720 in words is "four hundred thirty-two billion, four hundred twenty-seven million, eight hundred six thousand, seven hundred twenty".