844000425456 has 640 divisors, whose sum is σ = 2545757061120. Its totient is φ = 239500800000.

The previous prime is 844000425449. The next prime is 844000425469. The reversal of 844000425456 is 654524000448.

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, 4662985686 + ... + 4662985866.

It is an arithmetic number, because the mean of its divisors is an integer number (3977745408).

Almost surely, 2^844000425456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844000425456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272878530560).

844000425456 is an abundant number, since it is smaller than the sum of its proper divisors (1701756635664).

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

844000425456 is a wasteful number, since it uses less digits than its factorization.

844000425456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 844000425456 in words is "eight hundred forty-four billion, four hundred twenty-five thousand, four hundred fifty-six".