40017984 has 56 divisors (see below), whose sum is σ = 106423968. Its totient is φ = 13271040.

The previous prime is 40017959. The next prime is 40018001. The reversal of 40017984 is 48971004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48939 + ... + 49749.

It is an arithmetic number, because the mean of its divisors is an integer number (1900428).

Almost surely, 2^40017984 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 40017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53211984).

40017984 is an abundant number, since it is smaller than the sum of its proper divisors (66405984).

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

40017984 is a wasteful number, since it uses less digits than its factorization.

40017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 40017984 is about 6325.9769206029. The cubic root of 40017984 is about 342.0464353351.

Adding to 40017984 its reverse (48971004), we get a palindrome (88988988).

The spelling of 40017984 in words is "forty million, seventeen thousand, nine hundred eighty-four".