4441112334144 has 84 divisors (see below), whose sum is σ = 12729950301796. Its totient is φ = 1480335464448.

The previous prime is 4441112334121. The next prime is 4441112334157. The reversal of 4441112334144 is 4414332111444.

4441112334144 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 1 + 1 + 233 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1374803150400 + 3066309183744 = 1172520^2 + 1751088^2 .

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 = 4441112334099 and 4441112334108.

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, 37168962 + ... + 37288254.

Almost surely, 2^{4441112334144} is an apocalyptic number.

It is an amenable number.

4441112334144 is an abundant number, since it is smaller than the sum of its proper divisors (8288837967652).

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

4441112334144 is a wasteful number, since it uses less digits than its factorization.

4441112334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183944 (or 183931 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 4441112334144 its reverse (4414332111444), we get a palindrome (8855444445588).

The spelling of 4441112334144 in words is "four trillion, four hundred forty-one billion, one hundred twelve million, three hundred thirty-four thousand, one hundred forty-four".