381920960942304 has 192 divisors, whose sum is σ = 1152337435361280. Its totient is φ = 108494697991680.

The previous prime is 381920960942251. The next prime is 381920960942327. The reversal of 381920960942304 is 403249069029183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256346277 + ... + 257831835.

It is an arithmetic number, because the mean of its divisors is an integer number (6001757475840).

Almost surely, 2^{381920960942304} 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 381920960942304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576168717680640).

381920960942304 is an abundant number, since it is smaller than the sum of its proper divisors (770416474418976).

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

381920960942304 is a wasteful number, since it uses less digits than its factorization.

381920960942304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487773 (or 1487765 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 60.

The spelling of 381920960942304 in words is "three hundred eighty-one trillion, nine hundred twenty billion, nine hundred sixty million, nine hundred forty-two thousand, three hundred four".