9155440800 has 864 divisors, whose sum is σ = 37902574080. Its totient is φ = 2128896000.

The previous prime is 9155440799. The next prime is 9155440813. The reversal of 9155440800 is 80445519.

9155440800 is a `hidden beast` number, since 91 + 55 + 440 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 81021544 + ... + 81021656.

It is an arithmetic number, because the mean of its divisors is an integer number (43868720).

Almost surely, 2^9155440800 is an apocalyptic number.

9155440800 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 9155440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951287040).

9155440800 is an abundant number, since it is smaller than the sum of its proper divisors (28747133280).

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

9155440800 is a wasteful number, since it uses less digits than its factorization.

9155440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 9155440800 is about 95684.0676392888. The cubic root of 9155440800 is about 2091.9907163606.

The spelling of 9155440800 in words is "nine billion, one hundred fifty-five million, four hundred forty thousand, eight hundred".