44004004000000 has 504 divisors, whose sum is σ = 123642532355328. Its totient is φ = 15484800000000.

The previous prime is 44004003999947. The next prime is 44004004000001. The reversal of 44004004000000 is 40040044.

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

It is not an unprimeable number, because it can be changed into a prime (44004004000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1363983870 + ... + 1364016130.

It is an arithmetic number, because the mean of its divisors is an integer number (245322484832).

Almost surely, 2^{44004004000000} is an apocalyptic number.

44004004000000 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 44004004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61821266177664).

44004004000000 is an abundant number, since it is smaller than the sum of its proper divisors (79638528355328).

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

44004004000000 is an frugal number, since it uses more digits than its factorization.

44004004000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349 (or 32310 counting only the distinct ones).

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

Adding to 44004004000000 its reverse (40040044), we get a palindrome (44004044040044).

The spelling of 44004004000000 in words is "forty-four trillion, four billion, four million", and thus it is an aban number and an eban number.