40686912 has 84 divisors (see below), whose sum is σ = 133295136. Its totient is φ = 11623680.

The previous prime is 40686907. The next prime is 40686917. The reversal of 40686912 is 21968604.

It is an interprime number because it is at equal distance from previous prime (40686907) and next prime (40686917).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40686917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1014 + ... + 9077.

Almost surely, 2^40686912 is an apocalyptic number.

40686912 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 40686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66647568).

40686912 is an abundant number, since it is smaller than the sum of its proper divisors (92608224).

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

40686912 is a wasteful number, since it uses less digits than its factorization.

40686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10116 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40686912 is about 6378.6293198461. The cubic root of 40686912 is about 343.9417604668.

The spelling of 40686912 in words is "forty million, six hundred eighty-six thousand, nine hundred twelve".