44141014144 has 128 divisors (see below), whose sum is σ = 95883264000. Its totient is φ = 20177203200.

The previous prime is 44141014123. The next prime is 44141014237.

It is a happy number.

44141014144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8620417 + ... + 8625535.

It is an arithmetic number, because the mean of its divisors is an integer number (749088000).

Almost surely, 2^44141014144 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 44141014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47941632000).

44141014144 is an abundant number, since it is smaller than the sum of its proper divisors (51742249856).

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

44141014144 is a wasteful number, since it uses less digits than its factorization.

44141014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 441410 and 14144, that added together give a palindrome (455554).

The spelling of 44141014144 in words is "forty-four billion, one hundred forty-one million, fourteen thousand, one hundred forty-four".