44124124131100 has 108 divisors (see below), whose sum is σ = 103843022839920. Its totient is φ = 16266563788800.

The previous prime is 44124124131097. The next prime is 44124124131119. The reversal of 44124124131100 is 113142142144.

It is a happy number.

44124124131100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8796321 + ... + 12869479.

It is an arithmetic number, because the mean of its divisors is an integer number (961509470740).

Almost surely, 2^{44124124131100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44124124131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51921511419960).

44124124131100 is an abundant number, since it is smaller than the sum of its proper divisors (59718898708820).

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

44124124131100 is a wasteful number, since it uses less digits than its factorization.

44124124131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073840 (or 4073820 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 44124124131100 its reverse (113142142144), we get a palindrome (44237266273244).

The spelling of 44124124131100 in words is "forty-four trillion, one hundred twenty-four billion, one hundred twenty-four million, one hundred thirty-one thousand, one hundred".