8461541080080 has 240 divisors, whose sum is σ = 31002149146176. Its totient is φ = 2051141114880.

The previous prime is 8461541080079. The next prime is 8461541080121. The reversal of 8461541080080 is 800801451648.

8461541080080 is a `hidden beast` number, since 8 + 461 + 5 + 4 + 108 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156891999 + ... + 156945921.

Almost surely, 2^{8461541080080} is an apocalyptic number.

8461541080080 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 8461541080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501074573088).

8461541080080 is an abundant number, since it is smaller than the sum of its proper divisors (22540608066096).

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

8461541080080 is a wasteful number, since it uses less digits than its factorization.

8461541080080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73766 (or 73757 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 8461541080080 in words is "eight trillion, four hundred sixty-one billion, five hundred forty-one million, eighty thousand, eighty".