844044484000 has 96 divisors (see below), whose sum is σ = 2081306734416. Its totient is φ = 336398515200.

The previous prime is 844044483983. The next prime is 844044484007. The reversal of 844044484000 is 484440448.

It can be written as a sum of positive squares in 8 ways, for example, as 64192144 + 843980291856 = 8012^2 + 918684^2 .

It is a super-2 number, since 2×844044484000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (844044484007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727114 + ... + 1488886.

Almost surely, 2^844044484000 is an apocalyptic number.

844044484000 is a gapful number since it is divisible by the number (80) 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 844044484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040653367208).

844044484000 is an abundant number, since it is smaller than the sum of its proper divisors (1237262250416).

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

844044484000 is a wasteful number, since it uses less digits than its factorization.

844044484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762075 (or 762057 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 844044484000 in words is "eight hundred forty-four billion, forty-four million, four hundred eighty-four thousand".