844960452000 has 384 divisors, whose sum is σ = 3349627706880. Its totient is φ = 181772697600.

The previous prime is 844960451989. The next prime is 844960452071. The reversal of 844960452000 is 254069448.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1132146 + ... + 1723854.

It is an arithmetic number, because the mean of its divisors is an integer number (8722988820).

Almost surely, 2^844960452000 is an apocalyptic number.

844960452000 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 844960452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674813853440).

844960452000 is an abundant number, since it is smaller than the sum of its proper divisors (2504667254880).

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

844960452000 is a wasteful number, since it uses less digits than its factorization.

844960452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591761 (or 591743 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 844960452000 in words is "eight hundred forty-four billion, nine hundred sixty million, four hundred fifty-two thousand".