8461441268280 has 4032 divisors, whose sum is σ = 41313218546880. Its totient is φ = 1516491694080.

The previous prime is 8461441268249. The next prime is 8461441268297. The reversal of 8461441268280 is 828621441648.

8461441268280 is a `hidden beast` number, since 8 + 4 + 61 + 4 + 41 + 268 + 280 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 115910154324 + ... + 115910154396.

It is an arithmetic number, because the mean of its divisors is an integer number (10246333965).

Almost surely, 2^{8461441268280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8461441268280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20656609273440).

8461441268280 is an abundant number, since it is smaller than the sum of its proper divisors (32851777278600).

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

8461441268280 is a wasteful number, since it uses less digits than its factorization.

8461441268280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 8461441268280 in words is "eight trillion, four hundred sixty-one billion, four hundred forty-one million, two hundred sixty-eight thousand, two hundred eighty".