44400334120120 has 128 divisors (see below), whose sum is σ = 109257979438080. Its totient is φ = 16104800320000.

The previous prime is 44400334120091. The next prime is 44400334120169. The reversal of 44400334120120 is 2102143300444.

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 31 ways as a sum of consecutive naturals, for example, 1039774770 + ... + 1039817470.

It is an arithmetic number, because the mean of its divisors is an integer number (853577964360).

Almost surely, 2^{44400334120120} is an apocalyptic number.

44400334120120 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 44400334120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54628989719040).

44400334120120 is an abundant number, since it is smaller than the sum of its proper divisors (64857645317960).

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

44400334120120 is a wasteful number, since it uses less digits than its factorization.

44400334120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48637 (or 48633 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 44400334120120 its reverse (2102143300444), we get a palindrome (46502477420564).

The spelling of 44400334120120 in words is "forty-four trillion, four hundred billion, three hundred thirty-four million, one hundred twenty thousand, one hundred twenty".