841449168967680 has 2304 divisors, whose sum is σ = 3918171500006400. Its totient is φ = 168191640207360.

The previous prime is 841449168967679. The next prime is 841449168967691. The reversal of 841449168967680 is 86769861944148.

841449168967680 is a `hidden beast` number, since 8 + 4 + 1 + 4 + 491 + 6 + 8 + 9 + 67 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×841449168967680³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 841449168967680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4302207490 + ... + 4302403070.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595269100).

Almost surely, 2^{841449168967680} is an apocalyptic number.

841449168967680 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 841449168967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959085750003200).

841449168967680 is an abundant number, since it is smaller than the sum of its proper divisors (3076722331038720).

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

841449168967680 is a wasteful number, since it uses less digits than its factorization.

841449168967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195662 (or 195630 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 841449168967680 in words is "eight hundred forty-one trillion, four hundred forty-nine billion, one hundred sixty-eight million, nine hundred sixty-seven thousand, six hundred eighty".