40033760 has 96 divisors (see below), whose sum is σ = 107321760. Its totient is φ = 13989888.

The previous prime is 40033739. The next prime is 40033771. The reversal of 40033760 is 6733004.

40033760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 39014 + ... + 40026.

It is an arithmetic number, because the mean of its divisors is an integer number (1117935).

Almost surely, 2^40033760 is an apocalyptic number.

40033760 is a gapful number since it is divisible by the number (40) 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 40033760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53660880).

40033760 is an abundant number, since it is smaller than the sum of its proper divisors (67288000).

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

40033760 is a wasteful number, since it uses less digits than its factorization.

40033760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 40033760 is about 6327.2237197684. The cubic root of 40033760 is about 342.0913769262.

Adding to 40033760 its reverse (6733004), we get a palindrome (46766764).

The spelling of 40033760 in words is "forty million, thirty-three thousand, seven hundred sixty".