8541404818128 has 240 divisors, whose sum is σ = 29594487220480. Its totient is φ = 2252677609728.

The previous prime is 8541404818127. The next prime is 8541404818147. The reversal of 8541404818128 is 8218184041458.

8541404818128 is a `hidden beast` number, since 8 + 5 + 4 + 140 + 481 + 8 + 12 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8541404818127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286125 + ... + 4143027.

Almost surely, 2^{8541404818128} 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 8541404818128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14797243610240).

8541404818128 is an abundant number, since it is smaller than the sum of its proper divisors (21053082402352).

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

8541404818128 is a wasteful number, since it uses less digits than its factorization.

8541404818128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856963 (or 3856928 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 8541404818128 in words is "eight trillion, five hundred forty-one billion, four hundred four million, eight hundred eighteen thousand, one hundred twenty-eight".