40044800 has 54 divisors (see below), whose sum is σ = 99132978. Its totient is φ = 16015360.

The previous prime is 40044787. The next prime is 40044803. The reversal of 40044800 is 844004.

It can be written as a sum of positive squares in 3 ways, for example, as 12503296 + 27541504 = 3536^2 + 5248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40044803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3272 + ... + 9528.

Almost surely, 2^40044800 is an apocalyptic number.

40044800 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 40044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49566489).

40044800 is an abundant number, since it is smaller than the sum of its proper divisors (59088178).

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

40044800 is an equidigital number, since it uses as much as digits as its factorization.

40044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 40044800 is about 6328.0960801808. The cubic root of 40044800 is about 342.1228199025.

Adding to 40044800 its reverse (844004), we get a palindrome (40888804).

The spelling of 40044800 in words is "forty million, forty-four thousand, eight hundred".