432813081728076 has 192 divisors, whose sum is σ = 1227450591037440. Its totient is φ = 115873617346560.

The previous prime is 432813081727913. The next prime is 432813081728077. The reversal of 432813081728076 is 670827180318234.

It is not an unprimeable number, because it can be changed into a prime (432813081728077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1338229881 + ... + 1338553263.

It is an arithmetic number, because the mean of its divisors is an integer number (6392971828320).

Almost surely, 2^{432813081728076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432813081728076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613725295518720).

432813081728076 is an abundant number, since it is smaller than the sum of its proper divisors (794637509309364).

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

432813081728076 is a wasteful number, since it uses less digits than its factorization.

432813081728076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327544 (or 327542 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 432813081728076 in words is "four hundred thirty-two trillion, eight hundred thirteen billion, eighty-one million, seven hundred twenty-eight thousand, seventy-six".