385143124440 has 256 divisors, whose sum is σ = 1235342592000. Its totient is φ = 95782901760.

The previous prime is 385143124391. The next prime is 385143124441. The reversal of 385143124440 is 44421341583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385143124441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39012705 + ... + 39022575.

It is an arithmetic number, because the mean of its divisors is an integer number (4825557000).

Almost surely, 2^385143124440 is an apocalyptic number.

385143124440 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 385143124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617671296000).

385143124440 is an abundant number, since it is smaller than the sum of its proper divisors (850199467560).

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

385143124440 is a wasteful number, since it uses less digits than its factorization.

385143124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170 (or 10166 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 385143124440 in words is "three hundred eighty-five billion, one hundred forty-three million, one hundred twenty-four thousand, four hundred forty".