389841062400 has 720 divisors, whose sum is σ = 1489006788984. Its totient is φ = 97061437440.

The previous prime is 389841062389. The next prime is 389841062423. The reversal of 389841062400 is 4260148983.

It is a happy number.

389841062400 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 4 + 10 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 183608822016 + 206232240384 = 428496^2 + 454128^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268300074 + ... + 268301526.

Almost surely, 2^389841062400 is an apocalyptic number.

389841062400 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 389841062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744503394492).

389841062400 is an abundant number, since it is smaller than the sum of its proper divisors (1099165726584).

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

389841062400 is a wasteful number, since it uses less digits than its factorization.

389841062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 389841062400 in words is "three hundred eighty-nine billion, eight hundred forty-one million, sixty-two thousand, four hundred".