844820824000 has 112 divisors (see below), whose sum is σ = 2120860493856. Its totient is φ = 333298944000.

The previous prime is 844820823983. The next prime is 844820824021. The reversal of 844820824000 is 428028448.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139306 + ... + 1307305.

Almost surely, 2^844820824000 is an apocalyptic number.

844820824000 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 844820824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060430246928).

844820824000 is an abundant number, since it is smaller than the sum of its proper divisors (1276039669856).

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

844820824000 is a wasteful number, since it uses less digits than its factorization.

844820824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446711 (or 1446691 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 844820824000 in words is "eight hundred forty-four billion, eight hundred twenty million, eight hundred twenty-four thousand".