380116800000 has 1200 divisors, whose sum is σ = 1624547897280. Its totient is φ = 86676480000.

The previous prime is 380116799989. The next prime is 380116800047. The reversal of 380116800000 is 8611083.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 907199791 + ... + 907200209.

Almost surely, 2^380116800000 is an apocalyptic number.

380116800000 is a gapful number since it is divisible by the number (30) 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 380116800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812273948640).

380116800000 is an abundant number, since it is smaller than the sum of its proper divisors (1244431097280).

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

380116800000 is an frugal number, since it uses more digits than its factorization.

380116800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 380116800000 in words is "three hundred eighty billion, one hundred sixteen million, eight hundred thousand".