40038800 has 60 divisors (see below), whose sum is σ = 96868800. Its totient is φ = 15903360.

The previous prime is 40038799. The next prime is 40038809. The reversal of 40038800 is 883004.

It is not an unprimeable number, because it can be changed into a prime (40038809) 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 11 ways as a sum of consecutive naturals, for example, 79349 + ... + 79851.

It is an arithmetic number, because the mean of its divisors is an integer number (1614480).

Almost surely, 2^40038800 is an apocalyptic number.

40038800 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 40038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

40038800 is an abundant number, since it is smaller than the sum of its proper divisors (56830000).

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

40038800 is a wasteful number, since it uses less digits than its factorization.

40038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 40038800 is about 6327.6219861809. The cubic root of 40038800 is about 342.1057320454.

The spelling of 40038800 in words is "forty million, thirty-eight thousand, eight hundred".