9853461440 has 56 divisors (see below), whose sum is σ = 23760623040. Its totient is φ = 3891483648.

The previous prime is 9853461433. The next prime is 9853461473. The reversal of 9853461440 is 441643589.

9853461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9853461391 and 9853461400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169607 + ... + 220166.

It is an arithmetic number, because the mean of its divisors is an integer number (424296840).

Almost surely, 2^9853461440 is an apocalyptic number.

It is an amenable number.

9853461440 is an abundant number, since it is smaller than the sum of its proper divisors (13907161600).

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

9853461440 is a wasteful number, since it uses less digits than its factorization.

9853461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389869 (or 389859 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 9853461440 is about 99264.6031574196. The cubic root of 9853461440 is about 2143.8592717833.

The spelling of 9853461440 in words is "nine billion, eight hundred fifty-three million, four hundred sixty-one thousand, four hundred forty".