8160445440 has 528 divisors, whose sum is σ = 33547742592. Its totient is φ = 1863254016.

The previous prime is 8160445409. The next prime is 8160445441. The reversal of 8160445440 is 445440618.

It is a happy number.

8160445440 is a `hidden beast` number, since 8 + 1 + 604 + 4 + 5 + 4 + 40 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 8160445395 and 8160445404.

It is not an unprimeable number, because it can be changed into a prime (8160445441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708652 + ... + 8709588.

Almost surely, 2^8160445440 is an apocalyptic number.

8160445440 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 8160445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773871296).

8160445440 is an abundant number, since it is smaller than the sum of its proper divisors (25387297152).

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

8160445440 is an equidigital number, since it uses as much as digits as its factorization.

8160445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8160445440 is about 90335.1838432845. The cubic root of 8160445440 is about 2013.2820516252.

The spelling of 8160445440 in words is "eight billion, one hundred sixty million, four hundred forty-five thousand, four hundred forty".