444116127456 has 144 divisors (see below), whose sum is σ = 1331384221440. Its totient is φ = 140040679680.

The previous prime is 444116127449. The next prime is 444116127461. The reversal of 444116127456 is 654721611444.

444116127456 is a `hidden beast` number, since 4 + 441 + 161 + 2 + 7 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3677961 + ... + 3796791.

It is an arithmetic number, because the mean of its divisors is an integer number (9245723760).

Almost surely, 2^444116127456 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 444116127456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665692110720).

444116127456 is an abundant number, since it is smaller than the sum of its proper divisors (887268093984).

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

444116127456 is a wasteful number, since it uses less digits than its factorization.

444116127456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119549 (or 119538 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 444116127456 in words is "four hundred forty-four billion, one hundred sixteen million, one hundred twenty-seven thousand, four hundred fifty-six".