444908819160 has 768 divisors, whose sum is σ = 1693036800000. Its totient is φ = 100373852160.

The previous prime is 444908819149. The next prime is 444908819189. The reversal of 444908819160 is 61918809444.

It is a happy number.

444908819160 is a `hidden beast` number, since 4 + 4 + 490 + 8 + 8 + 1 + 91 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 444908819097 and 444908819106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 891600591 + ... + 891601089.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475000).

Almost surely, 2^444908819160 is an apocalyptic number.

444908819160 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 444908819160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846518400000).

444908819160 is an abundant number, since it is smaller than the sum of its proper divisors (1248127980840).

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

444908819160 is a wasteful number, since it uses less digits than its factorization.

444908819160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 444908819160 in words is "four hundred forty-four billion, nine hundred eight million, eight hundred nineteen thousand, one hundred sixty".