381529335040 has 432 divisors, whose sum is σ = 1083384590400. Its totient is φ = 128340688896.

The previous prime is 381529335001. The next prime is 381529335049. The reversal of 381529335040 is 40533925183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381529335049) 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 47 ways as a sum of consecutive naturals, for example, 932834356 + ... + 932834764.

It is an arithmetic number, because the mean of its divisors is an integer number (2507834700).

Almost surely, 2^381529335040 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 381529335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541692295200).

381529335040 is an abundant number, since it is smaller than the sum of its proper divisors (701855255360).

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

381529335040 is a wasteful number, since it uses less digits than its factorization.

381529335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 381529335040 in words is "three hundred eighty-one billion, five hundred twenty-nine million, three hundred thirty-five thousand, forty".