44124255242144 has 72 divisors (see below), whose sum is σ = 109125482556384. Its totient is φ = 17191268265600.

The previous prime is 44124255242117. The next prime is 44124255242147.

44124255242144 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 junction number, because it is equal to n+sod(n) for n = 44124255242095 and 44124255242104.

It is not an unprimeable number, because it can be changed into a prime (44124255242147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813953402 + ... + 814007609.

It is an arithmetic number, because the mean of its divisors is an integer number (1515631702172).

Almost surely, 2^{44124255242144} is an apocalyptic number.

44124255242144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44124255242144 is an abundant number, since it is smaller than the sum of its proper divisors (65001227314240).

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

44124255242144 is a wasteful number, since it uses less digits than its factorization.

44124255242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627961050 (or 1627961031 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 4412425 and 5242144, that added together give a palindrome (9654569).

The spelling of 44124255242144 in words is "forty-four trillion, one hundred twenty-four billion, two hundred fifty-five million, two hundred forty-two thousand, one hundred forty-four".