389823643440 has 1280 divisors, whose sum is σ = 1764458496000. Its totient is φ = 78338534400.

The previous prime is 389823643373. The next prime is 389823643441. The reversal of 389823643440 is 44346328983.

389823643440 is a `hidden beast` number, since 3 + 89 + 82 + 3 + 6 + 43 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (389823643441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 252639309 + ... + 252640851.

It is an arithmetic number, because the mean of its divisors is an integer number (1378483200).

Almost surely, 2^389823643440 is an apocalyptic number.

389823643440 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 389823643440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882229248000).

389823643440 is an abundant number, since it is smaller than the sum of its proper divisors (1374634852560).

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

389823643440 is a wasteful number, since it uses less digits than its factorization.

389823643440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 389823643440 in words is "three hundred eighty-nine billion, eight hundred twenty-three million, six hundred forty-three thousand, four hundred forty".