44404324400 has 240 divisors, whose sum is σ = 116034984000. Its totient is φ = 16278958080.

The previous prime is 44404324381. The next prime is 44404324417. The reversal of 44404324400 is 442340444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39752642 + ... + 39753758.

It is an arithmetic number, because the mean of its divisors is an integer number (483479100).

Almost surely, 2^44404324400 is an apocalyptic number.

44404324400 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 44404324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58017492000).

44404324400 is an abundant number, since it is smaller than the sum of its proper divisors (71630659600).

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

44404324400 is a wasteful number, since it uses less digits than its factorization.

44404324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 44404324400 its reverse (442340444), we get a palindrome (44846664844).

The spelling of 44404324400 in words is "forty-four billion, four hundred four million, three hundred twenty-four thousand, four hundred".