385850441088 has 768 divisors, whose sum is σ = 1379379456000. Its totient is φ = 101072240640.

The previous prime is 385850441077. The next prime is 385850441089. The reversal of 385850441088 is 880144058583.

385850441088 is a `hidden beast` number, since 3 + 8 + 58 + 504 + 4 + 1 + 0 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385850441089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1501363456 + ... + 1501363712.

It is an arithmetic number, because the mean of its divisors is an integer number (1796067000).

Almost surely, 2^385850441088 is an apocalyptic number.

385850441088 is a gapful number since it is divisible by the number (38) 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 385850441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689689728000).

385850441088 is an abundant number, since it is smaller than the sum of its proper divisors (993529014912).

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

385850441088 is a wasteful number, since it uses less digits than its factorization.

385850441088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 385850441088 in words is "three hundred eighty-five billion, eight hundred fifty million, four hundred forty-one thousand, eighty-eight".