8411041658880 has 2304 divisors, whose sum is σ = 36714917191680. Its totient is φ = 1805923123200.

The previous prime is 8411041658779. The next prime is 8411041658939. The reversal of 8411041658880 is 888561401148.

8411041658880 is a `hidden beast` number, since 8 + 4 + 1 + 10 + 41 + 6 + 588 + 8 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 19978721070 + ... + 19978721490.

It is an arithmetic number, because the mean of its divisors is an integer number (15935293920).

Almost surely, 2^{8411041658880} is an apocalyptic number.

8411041658880 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 8411041658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18357458595840).

8411041658880 is an abundant number, since it is smaller than the sum of its proper divisors (28303875532800).

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

8411041658880 is a wasteful number, since it uses less digits than its factorization.

8411041658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 8411041658880 in words is "eight trillion, four hundred eleven billion, forty-one million, six hundred fifty-eight thousand, eight hundred eighty".