40107312 has 100 divisors (see below), whose sum is σ = 132695376. Its totient is φ = 11456640.

The previous prime is 40107311. The next prime is 40107323. The reversal of 40107312 is 21370104.

Added to its reverse (21370104) it gives a triangular number (61477416 = T₁₁₀₈₈).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40107311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6862 + ... + 11282.

Almost surely, 2^40107312 is an apocalyptic number.

40107312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40107312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66347688).

40107312 is an abundant number, since it is smaller than the sum of its proper divisors (92588064).

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

40107312 is a wasteful number, since it uses less digits than its factorization.

40107312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 40107312 is about 6333.0333964065. The cubic root of 40107312 is about 342.3007511423.

Adding to 40107312 its reverse (21370104), we get a palindrome (61477416).

The spelling of 40107312 in words is "forty million, one hundred seven thousand, three hundred twelve".