1444467889872 has 360 divisors, whose sum is σ = 4959365392800. Its totient is φ = 405706952448.

The previous prime is 1444467889829. The next prime is 1444467889933. The reversal of 1444467889872 is 2789887644441.

1444467889872 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 467 + 8 + 8 + 98 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1444467889872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11175954 + ... + 11304462.

It is an arithmetic number, because the mean of its divisors is an integer number (13776014980).

Almost surely, 2^{1444467889872} is an apocalyptic number.

1444467889872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444467889872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479682696400).

1444467889872 is an abundant number, since it is smaller than the sum of its proper divisors (3514897502928).

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

1444467889872 is a wasteful number, since it uses less digits than its factorization.

1444467889872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128605 (or 128580 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 72.

The spelling of 1444467889872 in words is "one trillion, four hundred forty-four billion, four hundred sixty-seven million, eight hundred eighty-nine thousand, eight hundred seventy-two".