44114433441144 has 256 divisors, whose sum is σ = 127431360000000. Its totient is φ = 12585876526080.

The previous prime is 44114433441103. The next prime is 44114433441167.

44114433441144 is nontrivially palindromic in base 10.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44114433441096 and 44114433441105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857414332 + ... + 857465780.

It is an arithmetic number, because the mean of its divisors is an integer number (497778750000).

Almost surely, 2^{44114433441144} is an apocalyptic number.

44114433441144 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 44114433441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63715680000000).

44114433441144 is an abundant number, since it is smaller than the sum of its proper divisors (83316926558856).

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

44114433441144 is a wasteful number, since it uses less digits than its factorization.

44114433441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52546 (or 52542 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 4411443 and 3441144, that added together give a palindrome (7852587).

The spelling of 44114433441144 in words is "forty-four trillion, one hundred fourteen billion, four hundred thirty-three million, four hundred forty-one thousand, one hundred forty-four".