385002032409600 has 264 divisors, whose sum is σ = 1272898810922688. Its totient is φ = 102631139328000.

The previous prime is 385002032409593. The next prime is 385002032409613. The reversal of 385002032409600 is 6904230200583.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 218077627 + ... + 219835973.

Almost surely, 2^{385002032409600} is an apocalyptic number.

385002032409600 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 385002032409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636449405461344).

385002032409600 is an abundant number, since it is smaller than the sum of its proper divisors (887896778513088).

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

385002032409600 is a wasteful number, since it uses less digits than its factorization.

385002032409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761231 (or 1761208 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 385002032409600 in words is "three hundred eighty-five trillion, two billion, thirty-two million, four hundred nine thousand, six hundred".