40642938 has 64 divisors (see below), whose sum is σ = 108672000. Its totient is φ = 10999152.

The previous prime is 40642933. The next prime is 40642951. The reversal of 40642938 is 83924604.

It is a happy number.

40642938 is a `hidden beast` number, since 4 + 0 + 642 + 9 + 3 + 8 = 666.

40642938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40642933) 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 31 ways as a sum of consecutive naturals, for example, 4353 + ... + 10011.

It is an arithmetic number, because the mean of its divisors is an integer number (1698000).

Almost surely, 2^40642938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40642938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54336000).

40642938 is an abundant number, since it is smaller than the sum of its proper divisors (68029062).

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

40642938 is a wasteful number, since it uses less digits than its factorization.

40642938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 40642938 is about 6375.1814091836. The cubic root of 40642938 is about 343.8178062163.

The spelling of 40642938 in words is "forty million, six hundred forty-two thousand, nine hundred thirty-eight".