40366800 has 90 divisors (see below), whose sum is σ = 140096502. Its totient is φ = 10763520.

The previous prime is 40366793. The next prime is 40366829. The reversal of 40366800 is 866304.

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 40297104 = 264^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2007 + ... + 9206.

Almost surely, 2^40366800 is an apocalyptic number.

40366800 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 40366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70048251).

40366800 is an abundant number, since it is smaller than the sum of its proper divisors (99729702).

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

40366800 is a wasteful number, since it uses less digits than its factorization.

40366800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11237 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40366800 is about 6353.4872314344. The cubic root of 40366800 is about 343.0373754771.

The spelling of 40366800 in words is "forty million, three hundred sixty-six thousand, eight hundred".