380080816128 has 816 divisors, whose sum is σ = 1289486983680. Its totient is φ = 110415052800.

The previous prime is 380080816117. The next prime is 380080816151. The reversal of 380080816128 is 821618080083.

It is a super-2 number, since 2×380080816128² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9270263788 + ... + 9270263828.

Almost surely, 2^380080816128 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 380080816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644743491840).

380080816128 is an abundant number, since it is smaller than the sum of its proper divisors (909406167552).

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

380080816128 is an equidigital number, since it uses as much as digits as its factorization.

380080816128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 380080816128 in words is "three hundred eighty billion, eighty million, eight hundred sixteen thousand, one hundred twenty-eight".