432002134040295 has 96 divisors (see below), whose sum is σ = 866015186178240. Its totient is φ = 182271825469440.

The previous prime is 432002134040263. The next prime is 432002134040303. The reversal of 432002134040295 is 592040431200234.

It is not a de Polignac number, because 432002134040295 - 2⁵ = 432002134040263 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71044951 + ... + 76885559.

It is an arithmetic number, because the mean of its divisors is an integer number (9020991522690).

Almost surely, 2^{432002134040295} is an apocalyptic number.

432002134040295 is an abundant number, since it is smaller than the sum of its proper divisors (434013052137945).

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

432002134040295 is a wasteful number, since it uses less digits than its factorization.

432002134040295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848385 (or 5848378 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 432002134040295 in words is "four hundred thirty-two trillion, two billion, one hundred thirty-four million, forty thousand, two hundred ninety-five".