431771084672 has 128 divisors (see below), whose sum is σ = 878896137600. Its totient is φ = 211245465600.

The previous prime is 431771084659. The next prime is 431771084729. The reversal of 431771084672 is 276480177134.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 431771084672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944794268 + ... + 944794724.

It is an arithmetic number, because the mean of its divisors is an integer number (6866376075).

Almost surely, 2^431771084672 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 431771084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439448068800).

431771084672 is an abundant number, since it is smaller than the sum of its proper divisors (447125052928).

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

431771084672 is a wasteful number, since it uses less digits than its factorization.

431771084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 50.

The spelling of 431771084672 in words is "four hundred thirty-one billion, seven hundred seventy-one million, eighty-four thousand, six hundred seventy-two".