44144411444144 has 160 divisors (see below), whose sum is σ = 94005213209856. Its totient is φ = 19915865948160.

The previous prime is 44144411444129. The next prime is 44144411444227.

44144411444144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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

It is a junction number, because it is equal to n+sod(n) for n = 44144411444095 and 44144411444104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14072172944 + ... + 14072176080.

Almost surely, 2^{44144411444144} is an apocalyptic number.

44144411444144 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 44144411444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47002606604928).

44144411444144 is an abundant number, since it is smaller than the sum of its proper divisors (49860801765712).

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

44144411444144 is a wasteful number, since it uses less digits than its factorization.

44144411444144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4477 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 44.

It can be divided in two parts, 4414441 and 1444144, that added together give a palindrome (5858585).

The spelling of 44144411444144 in words is "forty-four trillion, one hundred forty-four billion, four hundred eleven million, four hundred forty-four thousand, one hundred forty-four".