381782839428000 has 576 divisors, whose sum is σ = 1487785331829888. Its totient is φ = 95820002611200.

The previous prime is 381782839427999. The next prime is 381782839428047. The reversal of 381782839428000 is 824938287183.

381782839428000 is a `hidden beast` number, since 3 + 8 + 1 + 78 + 283 + 9 + 4 + 280 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4971627 + ... + 28076373.

It is an arithmetic number, because the mean of its divisors is an integer number (2582960645538).

Almost surely, 2^{381782839428000} is an apocalyptic number.

381782839428000 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 381782839428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743892665914944).

381782839428000 is an abundant number, since it is smaller than the sum of its proper divisors (1106002492401888).

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

381782839428000 is a wasteful number, since it uses less digits than its factorization.

381782839428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23104804 (or 23104774 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 381782839428000 in words is "three hundred eighty-one trillion, seven hundred eighty-two billion, eight hundred thirty-nine million, four hundred twenty-eight thousand".