40044400 has 120 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 13766400.

The previous prime is 40044353. The next prime is 40044409. The reversal of 40044400 is 444004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40044409) 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 23 ways as a sum of consecutive naturals, for example, 83361 + ... + 83839.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^40044400 is an apocalyptic number.

40044400 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 40044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353600).

40044400 is an abundant number, since it is smaller than the sum of its proper divisors (70662800).

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

40044400 is a wasteful number, since it uses less digits than its factorization.

40044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 40044400 is about 6328.0644750192. The cubic root of 40044400 is about 342.1216807651.

Adding to 40044400 its reverse (444004), we get a palindrome (40488404).

The spelling of 40044400 in words is "forty million, forty-four thousand, four hundred".