9253991040 has 768 divisors, whose sum is σ = 37507276800. Its totient is φ = 1927618560.

The previous prime is 9253991039. The next prime is 9253991081. The reversal of 9253991040 is 401993529.

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 = 9253990983 and 9253991001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55413037 + ... + 55413203.

It is an arithmetic number, because the mean of its divisors is an integer number (48837600).

Almost surely, 2^9253991040 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 9253991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753638400).

9253991040 is an abundant number, since it is smaller than the sum of its proper divisors (28253285760).

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

9253991040 is a wasteful number, since it uses less digits than its factorization.

9253991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 9253991040 is about 96197.6664997650. Note that the first 3 decimals coincide. The cubic root of 9253991040 is about 2099.4700885162.

The spelling of 9253991040 in words is "nine billion, two hundred fifty-three million, nine hundred ninety-one thousand, forty".