40328640 has 336 divisors, whose sum is σ = 161665920. Its totient is φ = 9123840.

The previous prime is 40328633. The next prime is 40328653. The reversal of 40328640 is 4682304.

40328640 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 47 ways as a sum of consecutive naturals, for example, 601887 + ... + 601953.

Almost surely, 2^40328640 is an apocalyptic number.

40328640 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 40328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80832960).

40328640 is an abundant number, since it is smaller than the sum of its proper divisors (121337280).

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

40328640 is a wasteful number, since it uses less digits than its factorization.

40328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40328640 is about 6350.4834461638. The cubic root of 40328640 is about 342.9292467400.

The spelling of 40328640 in words is "forty million, three hundred twenty-eight thousand, six hundred forty".