841486968000 has 1120 divisors, whose sum is σ = 3681028391040. Its totient is φ = 185678438400.

The previous prime is 841486967983. The next prime is 841486968001. The reversal of 841486968000 is 869684148.

841486968000 is a `hidden beast` number, since 84 + 1 + 486 + 9 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (841486968001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 131540802 + ... + 131547198.

It is an arithmetic number, because the mean of its divisors is an integer number (3286632492).

Almost surely, 2^841486968000 is an apocalyptic number.

841486968000 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 841486968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840514195520).

841486968000 is an abundant number, since it is smaller than the sum of its proper divisors (2839541423040).

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

841486968000 is a wasteful number, since it uses less digits than its factorization.

841486968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 841486968000 in words is "eight hundred forty-one billion, four hundred eighty-six million, nine hundred sixty-eight thousand".