40166442 has 36 divisors (see below), whose sum is σ = 90399426. Its totient is φ = 13384440.

The previous prime is 40166431. The next prime is 40166449. The reversal of 40166442 is 24466104.

40166442 is a `hidden beast` number, since 4 + 0 + 16 + 644 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24413481 + 15752961 = 4941^2 + 3969^2 .

It is a super-2 number, since 2×40166442² = 3226686125878728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40166449) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 11592 + ... + 14652.

Almost surely, 2^40166442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40166442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45199713).

40166442 is an abundant number, since it is smaller than the sum of its proper divisors (50232984).

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

40166442 is an frugal number, since it uses more digits than its factorization.

40166442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40166442 is about 6337.7000560140. The cubic root of 40166442 is about 342.4688859441.

The spelling of 40166442 in words is "forty million, one hundred sixty-six thousand, four hundred forty-two".