40023984 has 320 divisors, whose sum is σ = 149990400. Its totient is φ = 9031680.

The previous prime is 40023947. The next prime is 40023989. The reversal of 40023984 is 48932004.

It is a happy number.

40023984 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 not an unprimeable number, because it can be changed into a prime (40023989) 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 63 ways as a sum of consecutive naturals, for example, 2354344 + ... + 2354360.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^40023984 is an apocalyptic number.

40023984 is a gapful number since it is divisible by the number (44) 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 40023984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

40023984 is an abundant number, since it is smaller than the sum of its proper divisors (109966416).

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

40023984 is a wasteful number, since it uses less digits than its factorization.

40023984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 40023984 is about 6326.4511378813. The cubic root of 40023984 is about 342.0635291168.

Adding to 40023984 its reverse (48932004), we get a palindrome (88955988).

The spelling of 40023984 in words is "forty million, twenty-three thousand, nine hundred eighty-four".