44112144121144 has 64 divisors (see below), whose sum is σ = 90759818822400. Its totient is φ = 19933165670400.

The previous prime is 44112144121141. The next prime is 44112144121181.

44112144121144 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44112144121141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54049629 + ... + 54859699.

It is an arithmetic number, because the mean of its divisors is an integer number (1418122169100).

Almost surely, 2^{44112144121144} is an apocalyptic number.

44112144121144 is a gapful number since it is divisible by the number (44) 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 44112144121144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45379909411200).

44112144121144 is an abundant number, since it is smaller than the sum of its proper divisors (46647674701256).

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

44112144121144 is a wasteful number, since it uses less digits than its factorization.

44112144121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813724 (or 813720 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

It can be divided in two parts, 4411214 and 4121144, that added together give a palindrome (8532358).

The spelling of 44112144121144 in words is "forty-four trillion, one hundred twelve billion, one hundred forty-four million, one hundred twenty-one thousand, one hundred forty-four".