844385409360 has 640 divisors, whose sum is σ = 3050684505600. Its totient is φ = 214453370880.

The previous prime is 844385409353. The next prime is 844385409383. The reversal of 844385409360 is 63904583448.

844385409360 is a `hidden beast` number, since 8 + 4 + 4 + 3 + 8 + 540 + 93 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 844385409297 and 844385409306.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1847670252 + ... + 1847670708.

It is an arithmetic number, because the mean of its divisors is an integer number (4766694540).

Almost surely, 2^844385409360 is an apocalyptic number.

844385409360 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 844385409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525342252800).

844385409360 is an abundant number, since it is smaller than the sum of its proper divisors (2206299096240).

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

844385409360 is a wasteful number, since it uses less digits than its factorization.

844385409360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 844385409360 in words is "eight hundred forty-four billion, three hundred eighty-five million, four hundred nine thousand, three hundred sixty".