40971168 has 72 divisors (see below), whose sum is σ = 133162848. Its totient is φ = 11705472.

The previous prime is 40971157. The next prime is 40971187. The reversal of 40971168 is 86117904.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8146 + ... + 12177.

It is an arithmetic number, because the mean of its divisors is an integer number (1849484).

Almost surely, 2^40971168 is an apocalyptic number.

40971168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40971168 is an abundant number, since it is smaller than the sum of its proper divisors (92191680).

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

40971168 is a wasteful number, since it uses less digits than its factorization.

40971168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20346 (or 20335 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 40971168 is about 6400.8724405350. The cubic root of 40971168 is about 344.7408766293.

The spelling of 40971168 in words is "forty million, nine hundred seventy-one thousand, one hundred sixty-eight".