4001031312 has 80 divisors (see below), whose sum is σ = 10551021120. Its totient is φ = 1306218496.

The previous prime is 4001031247. The next prime is 4001031319. The reversal of 4001031312 is 2131301004.

4001031312 is a Rhonda number in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4001031291 and 4001031300.

It is not an unprimeable number, because it can be changed into a prime (4001031319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452728 + ... + 461480.

It is an arithmetic number, because the mean of its divisors is an integer number (131887764).

Almost surely, 2^4001031312 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 4001031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275510560).

4001031312 is an abundant number, since it is smaller than the sum of its proper divisors (6549989808).

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

4001031312 is a wasteful number, since it uses less digits than its factorization.

4001031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8960 (or 8954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4001031312 is about 63253.7059151478. The cubic root of 4001031312 is about 1587.5374657246.

Adding to 4001031312 its reverse (2131301004), we get a palindrome (6132332316).

The spelling of 4001031312 in words is "four billion, one million, thirty-one thousand, three hundred twelve".