444538271120 has 20 divisors (see below), whose sum is σ = 1033551480540. Its totient is φ = 177815308416.

The previous prime is 444538271087. The next prime is 444538271159. The reversal of 444538271120 is 21172835444.

It can be written as a sum of positive squares in 2 ways, for example, as 331370619904 + 113167651216 = 575648^2 + 336404^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×444538271120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2778364115 + ... + 2778364274.

It is an arithmetic number, because the mean of its divisors is an integer number (51677574027).

Almost surely, 2^444538271120 is an apocalyptic number.

444538271120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444538271120 is an abundant number, since it is smaller than the sum of its proper divisors (589013209420).

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

444538271120 is a wasteful number, since it uses less digits than its factorization.

444538271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556728402 (or 5556728396 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 444538271120 in words is "four hundred forty-four billion, five hundred thirty-eight million, two hundred seventy-one thousand, one hundred twenty".