8314039480320 has 2912 divisors, whose sum is σ = 37128898713600. Its totient is φ = 1744005758976.

The previous prime is 8314039480319. The next prime is 8314039480379. The reversal of 8314039480320 is 230849304138.

8314039480320 is a `hidden beast` number, since 8 + 3 + 140 + 3 + 9 + 480 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 105241006041 + ... + 105241006119.

Almost surely, 2^{8314039480320} is an apocalyptic number.

8314039480320 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 8314039480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564449356800).

8314039480320 is an abundant number, since it is smaller than the sum of its proper divisors (28814859233280).

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

8314039480320 is an equidigital number, since it uses as much as digits as its factorization.

8314039480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 8314039480320 in words is "eight trillion, three hundred fourteen billion, thirty-nine million, four hundred eighty thousand, three hundred twenty".