44004044440400 has 120 divisors (see below), whose sum is σ = 115351560777600. Its totient is φ = 15998562534400.

The previous prime is 44004044440397. The next prime is 44004044440429. The reversal of 44004044440400 is 404444040044.

It is a super-2 number, since 2×44004044440400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23377556 + ... + 25189644.

It is an arithmetic number, because the mean of its divisors is an integer number (961263006480).

Almost surely, 2^{44004044440400} is an apocalyptic number.

44004044440400 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 44004044440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57675780388800).

44004044440400 is an abundant number, since it is smaller than the sum of its proper divisors (71347516337200).

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

44004044440400 is a wasteful number, since it uses less digits than its factorization.

44004044440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817637 (or 1817626 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 44004044440400 its reverse (404444040044), we get a palindrome (44408488480444).

It can be divided in two parts, 44004044 and 440400, that added together give a palindrome (44444444).

The spelling of 44004044440400 in words is "forty-four trillion, four billion, forty-four million, four hundred forty thousand, four hundred".