40166500 has 96 divisors (see below), whose sum is σ = 98017920. Its totient is φ = 14256000.

The previous prime is 40166459. The next prime is 40166509. The reversal of 40166500 is 566104.

It is a super-2 number, since 2×40166500² = 3226695444500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (40166509) 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 31 ways as a sum of consecutive naturals, for example, 368446 + ... + 368554.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020).

Almost surely, 2^40166500 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 40166500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008960).

40166500 is an abundant number, since it is smaller than the sum of its proper divisors (57851420).

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

40166500 is a wasteful number, since it uses less digits than its factorization.

40166500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 40166500 is about 6337.7046318048. The cubic root of 40166500 is about 342.4690507847.

The spelling of 40166500 in words is "forty million, one hundred sixty-six thousand, five hundred".