8201440512 has 108 divisors (see below), whose sum is σ = 24522767360. Its totient is φ = 2733792768.

The previous prime is 8201440493. The next prime is 8201440517. The reversal of 8201440512 is 2150441028.

8201440512 is a `hidden beast` number, since 8 + 2 + 0 + 144 + 0 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201440517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3712 + ... + 128127.

Almost surely, 2^8201440512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8201440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261383680).

8201440512 is an abundant number, since it is smaller than the sum of its proper divisors (16321326848).

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

8201440512 is an equidigital number, since it uses as much as digits as its factorization.

8201440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131870 (or 131844 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8201440512 is about 90561.8049290097. The cubic root of 8201440512 is about 2016.6477510357.

The spelling of 8201440512 in words is "eight billion, two hundred one million, four hundred forty thousand, five hundred twelve".