385618710400 has 1152 divisors, whose sum is σ = 1307550240000. Its totient is φ = 111089664000.

The previous prime is 385618710391. The next prime is 385618710403. The reversal of 385618710400 is 4017816583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385618710403) 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 143 ways as a sum of consecutive naturals, for example, 9405334380 + ... + 9405334420.

It is an arithmetic number, because the mean of its divisors is an integer number (1135026250).

Almost surely, 2^385618710400 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 385618710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653775120000).

385618710400 is an abundant number, since it is smaller than the sum of its proper divisors (921931529600).

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

385618710400 is a wasteful number, since it uses less digits than its factorization.

385618710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 385618710400 in words is "three hundred eighty-five billion, six hundred eighteen million, seven hundred ten thousand, four hundred".