431479329312 has 96 divisors (see below), whose sum is σ = 1151048247552. Its totient is φ = 141497985024.

The previous prime is 431479329299. The next prime is 431479329317. The reversal of 431479329312 is 213923974134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (431479329317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704633 + ... + 2859719.

It is an arithmetic number, because the mean of its divisors is an integer number (11990085912).

Almost surely, 2^431479329312 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 431479329312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575524123776).

431479329312 is an abundant number, since it is smaller than the sum of its proper divisors (719568918240).

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

431479329312 is a wasteful number, since it uses less digits than its factorization.

431479329312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155570 (or 155562 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The spelling of 431479329312 in words is "four hundred thirty-one billion, four hundred seventy-nine million, three hundred twenty-nine thousand, three hundred twelve".