40166400 has 132 divisors (see below), whose sum is σ = 133005872. Its totient is φ = 10690560.

The previous prime is 40166389. The next prime is 40166411. The reversal of 40166400 is 466104.

It is an interprime number because it is at equal distance from previous prime (40166389) and next prime (40166411).

It is a super-2 number, since 2×40166400² = 3226679377920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76539 + ... + 77061.

Almost surely, 2^40166400 is an apocalyptic number.

40166400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66502936).

40166400 is an abundant number, since it is smaller than the sum of its proper divisors (92839472).

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

40166400 is a wasteful number, since it uses less digits than its factorization.

40166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40166400 is about 6337.6967425083. The cubic root of 40166400 is about 342.4687665766.

The spelling of 40166400 in words is "forty million, one hundred sixty-six thousand, four hundred".