432400135505312 has 96 divisors (see below), whose sum is σ = 922171046814864. Its totient is φ = 198396739584000.

The previous prime is 432400135505309. The next prime is 432400135505329. The reversal of 432400135505312 is 213505531004234.

It can be written as a sum of positive squares in 8 ways, for example, as 337076234052496 + 95323901452816 = 18359636^2 + 9763396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54110312 + ... + 61585112.

Almost surely, 2^{432400135505312} 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 432400135505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461085523407432).

432400135505312 is an abundant number, since it is smaller than the sum of its proper divisors (489770911309552).

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

432400135505312 is a wasteful number, since it uses less digits than its factorization.

432400135505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7475642 (or 7475634 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

Adding to 432400135505312 its reverse (213505531004234), we get a palindrome (645905666509546).

The spelling of 432400135505312 in words is "four hundred thirty-two trillion, four hundred billion, one hundred thirty-five million, five hundred five thousand, three hundred twelve".