9401110994880 has 1344 divisors, whose sum is σ = 38149923801600. Its totient is φ = 2100695040000.

The previous prime is 9401110994867. The next prime is 9401110994881. The reversal of 9401110994880 is 884990111049.

9401110994880 is a `hidden beast` number, since 9 + 40 + 1 + 110 + 9 + 9 + 488 + 0 = 666.

9401110994880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9401110994881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3586839970 + ... + 3586842590.

Almost surely, 2^{9401110994880} is an apocalyptic number.

9401110994880 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 9401110994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19074961900800).

9401110994880 is an abundant number, since it is smaller than the sum of its proper divisors (28748812806720).

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

9401110994880 is a wasteful number, since it uses less digits than its factorization.

9401110994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 9401110994880 in words is "nine trillion, four hundred one billion, one hundred ten million, nine hundred ninety-four thousand, eight hundred eighty".