385843682400000 has 1728 divisors, whose sum is σ = 1530486034624512. Its totient is φ = 85192704000000.

The previous prime is 385843682399999. The next prime is 385843682400013. The reversal of 385843682400000 is 4286348583.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13912786134 + ... + 13912813866.

It is an arithmetic number, because the mean of its divisors is an integer number (885697936704).

Almost surely, 2^{385843682400000} is an apocalyptic number.

385843682400000 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 385843682400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765243017312256).

385843682400000 is an abundant number, since it is smaller than the sum of its proper divisors (1144642352224512).

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

385843682400000 is a wasteful number, since it uses less digits than its factorization.

385843682400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27836 (or 27802 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 385843682400000 in words is "three hundred eighty-five trillion, eight hundred forty-three billion, six hundred eighty-two million, four hundred thousand".