381307728960 has 448 divisors, whose sum is σ = 1418717203200. Its totient is φ = 96143376384.

The previous prime is 381307728943. The next prime is 381307729037. The reversal of 381307728960 is 69827703183.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 381307728897 and 381307728906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97344922 + ... + 97348838.

Almost surely, 2^381307728960 is an apocalyptic number.

381307728960 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 381307728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709358601600).

381307728960 is an abundant number, since it is smaller than the sum of its proper divisors (1037409474240).

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

381307728960 is a wasteful number, since it uses less digits than its factorization.

381307728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 381307728960 in words is "three hundred eighty-one billion, three hundred seven million, seven hundred twenty-eight thousand, nine hundred sixty".