44124211242144 has 288 divisors, whose sum is σ = 139975796653056. Its totient is φ = 13069821288960.

The previous prime is 44124211242143. The next prime is 44124211242157.

44124211242144 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 421 + 12 + 4 + 214 + 4 = 666.

44124211242144 is nontrivially palindromic in base 10.

44124211242144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 44124211242099 and 44124211242108.

It is not an unprimeable number, because it can be changed into a prime (44124211242143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116992879 + ... + 117369425.

It is an arithmetic number, because the mean of its divisors is an integer number (486027071712).

Almost surely, 2^{44124211242144} is an apocalyptic number.

44124211242144 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 44124211242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69987898326528).

44124211242144 is an abundant number, since it is smaller than the sum of its proper divisors (95851585410912).

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

44124211242144 is a wasteful number, since it uses less digits than its factorization.

44124211242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377408 (or 377397 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 4412421 and 1242144, that added together give a palindrome (5654565).

The spelling of 44124211242144 in words is "forty-four trillion, one hundred twenty-four billion, two hundred eleven million, two hundred forty-two thousand, one hundred forty-four".