384981410880 has 336 divisors, whose sum is σ = 1520586849600. Its totient is φ = 88416645120.

The previous prime is 384981410857. The next prime is 384981410887. The reversal of 384981410880 is 88014189483.

384981410880 is a `hidden beast` number, since 3 + 8 + 498 + 141 + 0 + 8 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (384981410887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282126 + ... + 921714.

It is an arithmetic number, because the mean of its divisors is an integer number (4525556100).

Almost surely, 2^384981410880 is an apocalyptic number.

384981410880 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 384981410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760293424800).

384981410880 is an abundant number, since it is smaller than the sum of its proper divisors (1135605438720).

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

384981410880 is a wasteful number, since it uses less digits than its factorization.

384981410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639642 (or 639629 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 384981410880 in words is "three hundred eighty-four billion, nine hundred eighty-one million, four hundred ten thousand, eight hundred eighty".