9456855040000 has 375 divisors, whose sum is σ = 24421645021235. Its totient is φ = 3660718080000.

The previous prime is 9456855039971. The next prime is 9456855040007. The reversal of 9456855040000 is 405586549.

The square root of 9456855040000 is 3075200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 741417435136 + 8715437604864 = 861056^2 + 2952192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1240.

It is not an unprimeable number, because it can be changed into a prime (9456855040007) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 305059839985 + ... + 305059840015.

Almost surely, 2^{9456855040000} is an apocalyptic number.

9456855040000 is the 3075200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9456855040000

9456855040000 is an abundant number, since it is smaller than the sum of its proper divisors (14964789981235).

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

9456855040000 is an frugal number, since it uses more digits than its factorization.

9456855040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 9456855040000 in words is "nine trillion, four hundred fifty-six billion, eight hundred fifty-five million, forty thousand".