444905809920 has 1920 divisors, whose sum is σ = 1949887779840. Its totient is φ = 96347750400.

The previous prime is 444905809903. The next prime is 444905809939. The reversal of 444905809920 is 29908509444.

444905809920 is a `hidden beast` number, since 44 + 490 + 5 + 8 + 0 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14351800305 + ... + 14351800335.

It is an arithmetic number, because the mean of its divisors is an integer number (1015566552).

Almost surely, 2^444905809920 is an apocalyptic number.

444905809920 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 444905809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974943889920).

444905809920 is an abundant number, since it is smaller than the sum of its proper divisors (1504981969920).

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

444905809920 is a wasteful number, since it uses less digits than its factorization.

444905809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 444905809920 in words is "four hundred forty-four billion, nine hundred five million, eight hundred nine thousand, nine hundred twenty".