40166100 has 108 divisors (see below), whose sum is σ = 135622396. Its totient is φ = 9884160.

The previous prime is 40166099. The next prime is 40166141. The reversal of 40166100 is 166104.

40166100 is a `hidden beast` number, since 4 + 0 + 1 + 661 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6780816 + 33385284 = 2604^2 + 5778^2 .

It is a super-2 number, since 2×40166100² = 3226631178420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9984 + ... + 13416.

Almost surely, 2^40166100 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 40166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67811198).

40166100 is an abundant number, since it is smaller than the sum of its proper divisors (95456296).

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

40166100 is a wasteful number, since it uses less digits than its factorization.

40166100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40166100 is about 6337.6730745598. The cubic root of 40166100 is about 342.4679139495.

The spelling of 40166100 in words is "forty million, one hundred sixty-six thousand, one hundred".