9541879418880 has 2080 divisors, whose sum is σ = 38719360779264. Its totient is φ = 2234800668672.

The previous prime is 9541879418873. The next prime is 9541879418899. The reversal of 9541879418880 is 888149781459.

9541879418880 is a `hidden beast` number, since 9 + 54 + 1 + 87 + 9 + 418 + 8 + 80 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9541879418799 and 9541879418808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30485237604 + ... + 30485237916.

Almost surely, 2^{9541879418880} is an apocalyptic number.

9541879418880 is a gapful number since it is divisible by the number (90) 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 9541879418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19359680389632).

9541879418880 is an abundant number, since it is smaller than the sum of its proper divisors (29177481360384).

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

9541879418880 is a wasteful number, since it uses less digits than its factorization.

9541879418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 72.

The spelling of 9541879418880 in words is "nine trillion, five hundred forty-one billion, eight hundred seventy-nine million, four hundred eighteen thousand, eight hundred eighty".