8171965440 has 264 divisors, whose sum is σ = 28592987280. Its totient is φ = 2157871104.

The previous prime is 8171965427. The next prime is 8171965457. The reversal of 8171965440 is 445691718.

8171965440 is a `hidden beast` number, since 8 + 17 + 1 + 96 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 5021907 + ... + 5023533.

It is an arithmetic number, because the mean of its divisors is an integer number (108306770).

Almost surely, 2^8171965440 is an apocalyptic number.

8171965440 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 8171965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296493640).

8171965440 is an abundant number, since it is smaller than the sum of its proper divisors (20421021840).

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

8171965440 is a wasteful number, since it uses less digits than its factorization.

8171965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8171965440 is about 90398.9238874003. The cubic root of 8171965440 is about 2014.2289813075.

The spelling of 8171965440 in words is "eight billion, one hundred seventy-one million, nine hundred sixty-five thousand, four hundred forty".