4043444020344 has 192 divisors, whose sum is σ = 12046382899200. Its totient is φ = 1219550162688.

The previous prime is 4043444020327. The next prime is 4043444020373. The reversal of 4043444020344 is 4430204443404.

4043444020344 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 4 + 440 + 203 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4043444020299 and 4043444020308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21206217 + ... + 21396039.

It is an arithmetic number, because the mean of its divisors is an integer number (62741577600).

Almost surely, 2^{4043444020344} 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 4043444020344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023191449600).

4043444020344 is an abundant number, since it is smaller than the sum of its proper divisors (8002938878856).

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

4043444020344 is a wasteful number, since it uses less digits than its factorization.

4043444020344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190554 (or 190547 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4043444020344 its reverse (4430204443404), we get a palindrome (8473648463748).

The spelling of 4043444020344 in words is "four trillion, forty-three billion, four hundred forty-four million, twenty thousand, three hundred forty-four".