8095392040320 has 1536 divisors, whose sum is σ = 32916912537600. Its totient is φ = 1817369395200.

The previous prime is 8095392040273. The next prime is 8095392040321. The reversal of 8095392040320 is 230402935908.

It is a happy number.

8095392040320 is a `hidden beast` number, since 8 + 0 + 95 + 39 + 204 + 0 + 320 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8095392040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42384251425 + ... + 42384251615.

It is an arithmetic number, because the mean of its divisors is an integer number (21430281600).

Almost surely, 2^{8095392040320} is an apocalyptic number.

8095392040320 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 8095392040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458456268800).

8095392040320 is an abundant number, since it is smaller than the sum of its proper divisors (24821520497280).

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

8095392040320 is a wasteful number, since it uses less digits than its factorization.

8095392040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 8095392040320 in words is "eight trillion, ninety-five billion, three hundred ninety-two million, forty thousand, three hundred twenty".