381241628000 has 192 divisors, whose sum is σ = 962448334848. Its totient is φ = 148346099200.

The previous prime is 381241627969. The next prime is 381241628003. The reversal of 381241628000 is 826142183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381241628003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31389929 + ... + 31402071.

It is an arithmetic number, because the mean of its divisors is an integer number (5012751744).

Almost surely, 2^381241628000 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 381241628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481224167424).

381241628000 is an abundant number, since it is smaller than the sum of its proper divisors (581206706848).

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

381241628000 is a wasteful number, since it uses less digits than its factorization.

381241628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12382 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 381241628000 in words is "three hundred eighty-one billion, two hundred forty-one million, six hundred twenty-eight thousand".