40809600 has 288 divisors, whose sum is σ = 158258100. Its totient is φ = 9953280.

The previous prime is 40809599. The next prime is 40809607. The reversal of 40809600 is 690804.

It can be written as a sum of positive squares in 6 ways, for example, as 11128896 + 29680704 = 3336^2 + 5448^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (40809607) 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 35 ways as a sum of consecutive naturals, for example, 374346 + ... + 374454.

Almost surely, 2^40809600 is an apocalyptic number.

40809600 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 40809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79129050).

40809600 is an abundant number, since it is smaller than the sum of its proper divisors (117448500).

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

40809600 is a wasteful number, since it uses less digits than its factorization.

40809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40809600 is about 6388.2391940190. The cubic root of 40809600 is about 344.2871228219.

The spelling of 40809600 in words is "forty million, eight hundred nine thousand, six hundred".