44124533542144 has 108 divisors (see below), whose sum is σ = 96820497306148. Its totient is φ = 20054759915520.

The previous prime is 44124533542127. The next prime is 44124533542259.

44124533542144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 40451024652544 + 3673508889600 = 6360112^2 + 1916640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44124533542094 and 44124533542103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 370196542 + ... + 370315714.

Almost surely, 2^{44124533542144} is an apocalyptic number.

44124533542144 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 44124533542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48410248653074).

44124533542144 is an abundant number, since it is smaller than the sum of its proper divisors (52695963764004).

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

44124533542144 is a wasteful number, since it uses less digits than its factorization.

44124533542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131164 (or 131139 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4412453 and 3542144, that added together give a palindrome (7954597).

The spelling of 44124533542144 in words is "forty-four trillion, one hundred twenty-four billion, five hundred thirty-three million, five hundred forty-two thousand, one hundred forty-four".