8001414325360 has 80 divisors (see below), whose sum is σ = 19072904068512. Its totient is φ = 3119901696000.

The previous prime is 8001414325327. The next prime is 8001414325363. The reversal of 8001414325360 is 635234141008.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001414325363) 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 15 ways as a sum of consecutive naturals, for example, 2923687 + ... + 4954873.

Almost surely, 2^{8001414325360} is an apocalyptic number.

8001414325360 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 8001414325360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536452034256).

8001414325360 is an abundant number, since it is smaller than the sum of its proper divisors (11071489743152).

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

8001414325360 is a wasteful number, since it uses less digits than its factorization.

8001414325360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032442 (or 2032436 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 8001414325360 its reverse (635234141008), we get a palindrome (8636648466368).

The spelling of 8001414325360 in words is "eight trillion, one billion, four hundred fourteen million, three hundred twenty-five thousand, three hundred sixty".