9401832984960 has 2688 divisors, whose sum is σ = 38780003750400. Its totient is φ = 2174883250176.

The previous prime is 9401832984941. The next prime is 9401832984991. The reversal of 9401832984960 is 694892381049.

9401832984960 is a `hidden beast` number, since 9 + 40 + 1 + 83 + 29 + 8 + 496 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 159353101411 + ... + 159353101469.

Almost surely, 2^{9401832984960} is an apocalyptic number.

9401832984960 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 9401832984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19390001875200).

9401832984960 is an abundant number, since it is smaller than the sum of its proper divisors (29378170765440).

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

9401832984960 is a wasteful number, since it uses less digits than its factorization.

9401832984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 9401832984960 in words is "nine trillion, four hundred one billion, eight hundred thirty-two million, nine hundred eighty-four thousand, nine hundred sixty".