4100031312 has 80 divisors (see below), whose sum is σ = 11419352448. Its totient is φ = 1260126720.

The previous prime is 4100031311. The next prime is 4100031371. The reversal of 4100031312 is 2131300014.

It is a junction number, because it is equal to n+sod(n) for n = 4100031291 and 4100031300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100031311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640158 + ... + 646530.

Almost surely, 2^4100031312 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 4100031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709676224).

4100031312 is an abundant number, since it is smaller than the sum of its proper divisors (7319321136).

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

4100031312 is a wasteful number, since it uses less digits than its factorization.

4100031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7422 counting only the distinct ones).

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

The square root of 4100031312 is about 64031.4868795033. The cubic root of 4100031312 is about 1600.5247383039.

Adding to 4100031312 its reverse (2131300014), we get a palindrome (6231331326).

The spelling of 4100031312 in words is "four billion, one hundred million, thirty-one thousand, three hundred twelve".