40131312 has 80 divisors (see below), whose sum is σ = 113305248. Its totient is φ = 12165120.

The previous prime is 40131307. The next prime is 40131317. The reversal of 40131312 is 21313104.

It is an interprime number because it is at equal distance from previous prime (40131307) and next prime (40131317).

It is a super-2 number, since 2×40131312² = 3221044405682688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40131291 and 40131300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131317) 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, 45112 + ... + 45992.

Almost surely, 2^40131312 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 40131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56652624).

40131312 is an abundant number, since it is smaller than the sum of its proper divisors (73173936).

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

40131312 is a wasteful number, since it uses less digits than its factorization.

40131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

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

The square root of 40131312 is about 6334.9279396059. The cubic root of 40131312 is about 342.3690145047.

Adding to 40131312 its reverse (21313104), we get a palindrome (61444416).

It can be divided in two parts, 401 and 31312, that added together give a palindrome (31713).

The spelling of 40131312 in words is "forty million, one hundred thirty-one thousand, three hundred twelve".