8441302222080 has 4320 divisors, whose sum is σ = 41259578976000. Its totient is φ = 1632855490560.

The previous prime is 8441302222079. The next prime is 8441302222117. The reversal of 8441302222080 is 802222031448.

8441302222080 is a `hidden beast` number, since 8 + 441 + 3 + 0 + 2 + 2 + 2 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 479 ways as a sum of consecutive naturals, for example, 272300071665 + ... + 272300071695.

Almost surely, 2^{8441302222080} is an apocalyptic number.

8441302222080 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 8441302222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629789488000).

8441302222080 is an abundant number, since it is smaller than the sum of its proper divisors (32818276753920).

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

8441302222080 is a wasteful number, since it uses less digits than its factorization.

8441302222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 8441302222080 in words is "eight trillion, four hundred forty-one billion, three hundred two million, two hundred twenty-two thousand, eighty".