40131168 has 192 divisors, whose sum is σ = 134991360. Its totient is φ = 10137600.

The previous prime is 40131163. The next prime is 40131181. The reversal of 40131168 is 86113104.

It is a super-2 number, since 2×40131168² = 3221021290088448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450868 + ... + 450956.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^40131168 is an apocalyptic number.

40131168 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 40131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

40131168 is an abundant number, since it is smaller than the sum of its proper divisors (94860192).

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

40131168 is a wasteful number, since it uses less digits than its factorization.

40131168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 40131168 is about 6334.9165740363. The cubic root of 40131168 is about 342.3686050057.

The spelling of 40131168 in words is "forty million, one hundred thirty-one thousand, one hundred sixty-eight".