40005168 has 120 divisors (see below), whose sum is σ = 122389488. Its totient is φ = 11225088.

The previous prime is 40005167. The next prime is 40005197. The reversal of 40005168 is 86150004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40005167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171580 + ... + 171812.

Almost surely, 2^40005168 is an apocalyptic number.

40005168 is a gapful number since it is divisible by the number (48) 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 40005168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61194744).

40005168 is an abundant number, since it is smaller than the sum of its proper divisors (82384320).

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

40005168 is a wasteful number, since it uses less digits than its factorization.

40005168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 40005168 is about 6324.9638734146. The cubic root of 40005168 is about 342.0099172939.

The spelling of 40005168 in words is "forty million, five thousand, one hundred sixty-eight".