8159269440 has 448 divisors, whose sum is σ = 31180308480. Its totient is φ = 1768366080.

The previous prime is 8159269439. The next prime is 8159269457. The reversal of 8159269440 is 449629518.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8159269440.

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 63 ways as a sum of consecutive naturals, for example, 11040591 + ... + 11041329.

Almost surely, 2^8159269440 is an apocalyptic number.

8159269440 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 8159269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590154240).

8159269440 is an abundant number, since it is smaller than the sum of its proper divisors (23021039040).

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

8159269440 is a wasteful number, since it uses less digits than its factorization.

8159269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 8159269440 is about 90328.6745170104. The cubic root of 8159269440 is about 2013.1853357677.

The spelling of 8159269440 in words is "eight billion, one hundred fifty-nine million, two hundred sixty-nine thousand, four hundred forty".