40008800 has 72 divisors (see below), whose sum is σ = 105212016. Its totient is φ = 14768640.

The previous prime is 40008779. The next prime is 40008811. The reversal of 40008800 is 880004.

It is a Harshad number since it is a multiple of its sum of digits (20).

40008800 is a modest number, since divided by 8800 gives 4000 as remainder.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8477 + ... + 12323.

It is an arithmetic number, because the mean of its divisors is an integer number (1461278).

Almost surely, 2^40008800 is an apocalyptic number.

40008800 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 40008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52606008).

40008800 is an abundant number, since it is smaller than the sum of its proper divisors (65203216).

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

40008800 is a wasteful number, since it uses less digits than its factorization.

40008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 40008800 is about 6325.2509831626. The cubic root of 40008800 is about 342.0202671436.

Adding to 40008800 its reverse (880004), we get a palindrome (40888804).

The spelling of 40008800 in words is "forty million, eight thousand, eight hundred".