380128559104000 has 1216 divisors, whose sum is σ = 1143210739507200. Its totient is φ = 126009999360000.

The previous prime is 380128559103973. The next prime is 380128559104043. The reversal of 380128559104000 is 401955821083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348422143455 + ... + 348422144545.

Almost surely, 2^{380128559104000} 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 380128559104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571605369753600).

380128559104000 is an abundant number, since it is smaller than the sum of its proper divisors (763082180403200).

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

380128559104000 is an frugal number, since it uses more digits than its factorization.

380128559104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 380128559104000 in words is "three hundred eighty trillion, one hundred twenty-eight billion, five hundred fifty-nine million, one hundred four thousand".