40221632 has 112 divisors (see below), whose sum is σ = 95585280. Its totient is φ = 16588800.

The previous prime is 40221607. The next prime is 40221659. The reversal of 40221632 is 23612204.

40221632 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, 414608 + ... + 414704.

It is an arithmetic number, because the mean of its divisors is an integer number (853440).

Almost surely, 2^40221632 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 40221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47792640).

40221632 is an abundant number, since it is smaller than the sum of its proper divisors (55363648).

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

40221632 is a wasteful number, since it uses less digits than its factorization.

40221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 40221632 is about 6342.0526645559. The cubic root of 40221632 is about 342.6256686270.

Adding to 40221632 its reverse (23612204), we get a palindrome (63833836).

The spelling of 40221632 in words is "forty million, two hundred twenty-one thousand, six hundred thirty-two".