444034011102120 has 96 divisors (see below), whose sum is σ = 1446368122461600. Its totient is φ = 118141780488576.

The previous prime is 444034011102091. The next prime is 444034011102161. The reversal of 444034011102120 is 21201110430444.

444034011102120 is a `hidden beast` number, since 4 + 4 + 40 + 3 + 401 + 1 + 1 + 0 + 212 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391971230 + ... + 1392290189.

It is an arithmetic number, because the mean of its divisors is an integer number (15066334608975).

Almost surely, 2^{444034011102120} is an apocalyptic number.

444034011102120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444034011102120 is an abundant number, since it is smaller than the sum of its proper divisors (1002334111359480).

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

444034011102120 is a wasteful number, since it uses less digits than its factorization.

444034011102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784261879 (or 2784261872 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 444034011102120 its reverse (21201110430444), we get a palindrome (465235121532564).

The spelling of 444034011102120 in words is "four hundred forty-four trillion, thirty-four billion, eleven million, one hundred two thousand, one hundred twenty".