8959991040 has 1728 divisors, whose sum is σ = 44627224320. Its totient is φ = 1672151040.

The previous prime is 8959991023. The next prime is 8959991069. The reversal of 8959991040 is 401999598.

8959991040 is a `hidden beast` number, since 8 + 9 + 599 + 9 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242161902 + ... + 242161938.

It is an arithmetic number, because the mean of its divisors is an integer number (25825940).

Almost surely, 2^8959991040 is an apocalyptic number.

8959991040 is a gapful number since it is divisible by the number (80) 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 8959991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22313612160).

8959991040 is an abundant number, since it is smaller than the sum of its proper divisors (35667233280).

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

8959991040 is a wasteful number, since it uses less digits than its factorization.

8959991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 8959991040 is about 94657.2292009438. The cubic root of 8959991040 is about 2076.9969484077.

It can be divided in two parts, 8959 and 991040, that added together give a palindrome (999999).

The spelling of 8959991040 in words is "eight billion, nine hundred fifty-nine million, nine hundred ninety-one thousand, forty".