40041288 has 96 divisors (see below), whose sum is σ = 126360000. Its totient is φ = 11217024.

The previous prime is 40041269. The next prime is 40041293. The reversal of 40041288 is 88214004.

40041288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25963 + ... + 27461.

It is an arithmetic number, because the mean of its divisors is an integer number (1316250).

Almost surely, 2^40041288 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 40041288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63180000).

40041288 is an abundant number, since it is smaller than the sum of its proper divisors (86318712).

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

40041288 is a wasteful number, since it uses less digits than its factorization.

40041288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40041288 is about 6327.8185814702. The cubic root of 40041288 is about 342.1128180173.

The spelling of 40041288 in words is "forty million, forty-one thousand, two hundred eighty-eight".