40165632 has 180 divisors, whose sum is σ = 129845100. Its totient is φ = 12275712.

The previous prime is 40165627. The next prime is 40165649. The reversal of 40165632 is 23656104.

40165632 is a `hidden beast` number, since 4 + 0 + 1 + 656 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 34857216 = 2304^2 + 5904^2 .

It is a super-2 number, since 2×40165632² = 3226555987918848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 40165596 and 40165605.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269494 + ... + 269642.

Almost surely, 2^40165632 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 40165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64922550).

40165632 is an abundant number, since it is smaller than the sum of its proper divisors (89679468).

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

40165632 is a wasteful number, since it uses less digits than its factorization.

40165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40165632 is about 6337.6361523836. The cubic root of 40165632 is about 342.4665838427.

The spelling of 40165632 in words is "forty million, one hundred sixty-five thousand, six hundred thirty-two".