385785400000 has 1344 divisors, whose sum is σ = 1344081973248. Its totient is φ = 105984000000.

The previous prime is 385785399997. The next prime is 385785400009. The reversal of 385785400000 is 4587583.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (385785400009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8208199977 + ... + 8208200023.

It is an arithmetic number, because the mean of its divisors is an integer number (1000060992).

Almost surely, 2^385785400000 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 385785400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672040986624).

385785400000 is an abundant number, since it is smaller than the sum of its proper divisors (958296573248).

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

385785400000 is a wasteful number, since it uses less digits than its factorization.

385785400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

Adding to 385785400000 its reverse (4587583), we get a palindrome (385789987583).

The spelling of 385785400000 in words is "three hundred eighty-five billion, seven hundred eighty-five million, four hundred thousand".