444961689120 has 384 divisors, whose sum is σ = 1704670894080. Its totient is φ = 107732643840.

The previous prime is 444961689077. The next prime is 444961689143. The reversal of 444961689120 is 21986169444.

444961689120 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 616 + 8 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 3360817 + ... + 3490703.

It is an arithmetic number, because the mean of its divisors is an integer number (4439247120).

Almost surely, 2^444961689120 is an apocalyptic number.

444961689120 is a gapful number since it is divisible by the number (40) 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 444961689120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852335447040).

444961689120 is an abundant number, since it is smaller than the sum of its proper divisors (1259709204960).

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

444961689120 is a wasteful number, since it uses less digits than its factorization.

444961689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129985 (or 129971 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 444961689120 in words is "four hundred forty-four billion, nine hundred sixty-one million, six hundred eighty-nine thousand, one hundred twenty".