40165164 has 72 divisors (see below), whose sum is σ = 115118640. Its totient is φ = 11705472.

The previous prime is 40165163. The next prime is 40165187. The reversal of 40165164 is 46156104.

40165164 is a `hidden beast` number, since 4 + 0 + 1 + 651 + 6 + 4 = 666.

It is a super-2 number, since 2×40165164² = 3226480798293792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40165163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6634 + ... + 11150.

It is an arithmetic number, because the mean of its divisors is an integer number (1598870).

Almost surely, 2^40165164 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 40165164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57559320).

40165164 is an abundant number, since it is smaller than the sum of its proper divisors (74953476).

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

40165164 is a wasteful number, since it uses less digits than its factorization.

40165164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40165164 is about 6337.5992299924. The cubic root of 40165164 is about 342.4652537256.

It can be divided in two parts, 4016 and 5164, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 40165164 in words is "forty million, one hundred sixty-five thousand, one hundred sixty-four".