4331414321312 has 96 divisors (see below), whose sum is σ = 9503502195600. Its totient is φ = 1929488375808.

The previous prime is 4331414321231. The next prime is 4331414321317. The reversal of 4331414321312 is 2131234141334.

4331414321312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2091135797776 + 2240278523536 = 1446076^2 + 1496756^2 .

It is a super-2 number, since 2×4331414321312² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4331414321317) 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, 34404014 + ... + 34529682.

Almost surely, 2^{4331414321312} 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 4331414321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751751097800).

4331414321312 is an abundant number, since it is smaller than the sum of its proper divisors (5172087874288).

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

4331414321312 is a wasteful number, since it uses less digits than its factorization.

4331414321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128578 (or 128570 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 4331414321312 its reverse (2131234141334), we get a palindrome (6462648462646).

The spelling of 4331414321312 in words is "four trillion, three hundred thirty-one billion, four hundred fourteen million, three hundred twenty-one thousand, three hundred twelve".