9338159040 has 448 divisors, whose sum is σ = 34951440384. Its totient is φ = 2068365312.

The previous prime is 9338159011. The next prime is 9338159053. The reversal of 9338159040 is 409518339.

9338159040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9338158983 and 9338159001.

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 63 ways as a sum of consecutive naturals, for example, 55917037 + ... + 55917203.

It is an arithmetic number, because the mean of its divisors is an integer number (78016608).

Almost surely, 2^9338159040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9338159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475720192).

9338159040 is an abundant number, since it is smaller than the sum of its proper divisors (25613281344).

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

9338159040 is a wasteful number, since it uses less digits than its factorization.

9338159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 9338159040 is about 96634.1504852193. The cubic root of 9338159040 is about 2105.8160045384.

The spelling of 9338159040 in words is "nine billion, three hundred thirty-eight million, one hundred fifty-nine thousand, forty".