4032320313312 has 144 divisors (see below), whose sum is σ = 11526230282112. Its totient is φ = 1337171189760.

The previous prime is 4032320313277. The next prime is 4032320313317. The reversal of 4032320313312 is 2133130232304.

4032320313312 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 32 + 0 + 313 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032320313317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44309137 + ... + 44400047.

It is an arithmetic number, because the mean of its divisors is an integer number (80043265848).

Almost surely, 2^{4032320313312} 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 4032320313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763115141056).

4032320313312 is an abundant number, since it is smaller than the sum of its proper divisors (7493909968800).

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

4032320313312 is a wasteful number, since it uses less digits than its factorization.

4032320313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91721 (or 91710 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 4032320313312 its reverse (2133130232304), we get a palindrome (6165450545616).

The spelling of 4032320313312 in words is "four trillion, thirty-two billion, three hundred twenty million, three hundred thirteen thousand, three hundred twelve".