40681344 has 64 divisors (see below), whose sum is σ = 117895680. Its totient is φ = 12326400.

The previous prime is 40681343. The next prime is 40681349. The reversal of 40681344 is 44318604.

40681344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40681343) 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 7 ways as a sum of consecutive naturals, for example, 592 + ... + 9039.

It is an arithmetic number, because the mean of its divisors is an integer number (1842120).

Almost surely, 2^40681344 is an apocalyptic number.

40681344 is a gapful number since it is divisible by the number (44) 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 40681344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58947840).

40681344 is an abundant number, since it is smaller than the sum of its proper divisors (77214336).

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

40681344 is a wasteful number, since it uses less digits than its factorization.

40681344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659 (or 9647 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 40681344 is about 6378.1928475078. The cubic root of 40681344 is about 343.9260702855.

Adding to 40681344 its reverse (44318604), we get a palindrome (84999948).

The spelling of 40681344 in words is "forty million, six hundred eighty-one thousand, three hundred forty-four".