4114243321344 has 600 divisors, whose sum is σ = 13957865155080. Its totient is φ = 1199236866048.

The previous prime is 4114243321327. The next prime is 4114243321373. The reversal of 4114243321344 is 4431233424114.

4114243321344 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 2 + 433 + 213 + 4 + 4 = 666.

4114243321344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4114243321299 and 4114243321308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 194617527 + ... + 194638665.

Almost surely, 2^{4114243321344} 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 4114243321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978932577540).

4114243321344 is an abundant number, since it is smaller than the sum of its proper divisors (9843621833736).

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

4114243321344 is a wasteful number, since it uses less digits than its factorization.

4114243321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220 (or 21176 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 4114243321344 its reverse (4431233424114), we get a palindrome (8545476745458).

The spelling of 4114243321344 in words is "four trillion, one hundred fourteen billion, two hundred forty-three million, three hundred twenty-one thousand, three hundred forty-four".