40681368 has 144 divisors (see below), whose sum is σ = 138181680. Its totient is φ = 10717056.

The previous prime is 40681349. The next prime is 40681423. The reversal of 40681368 is 86318604.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45421 + ... + 46307.

It is an arithmetic number, because the mean of its divisors is an integer number (959595).

Almost surely, 2^40681368 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 40681368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69090840).

40681368 is an abundant number, since it is smaller than the sum of its proper divisors (97500312).

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

40681368 is a wasteful number, since it uses less digits than its factorization.

40681368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40681368 is about 6378.1947289182. The cubic root of 40681368 is about 343.9261379186.

The spelling of 40681368 in words is "forty million, six hundred eighty-one thousand, three hundred sixty-eight".