384791980518400 has 2112 divisors, whose sum is σ = 1235834111276800. Its totient is φ = 117986977382400.

The previous prime is 384791980518377. The next prime is 384791980518403. The reversal of 384791980518400 is 4815089197483.

It is not an unprimeable number, because it can be changed into a prime (384791980518403) 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, 508311730822 + ... + 508311731578.

Almost surely, 2^{384791980518400} 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 384791980518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617917055638400).

384791980518400 is an abundant number, since it is smaller than the sum of its proper divisors (851042130758400).

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

384791980518400 is a wasteful number, since it uses less digits than its factorization.

384791980518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 384791980518400 in words is "three hundred eighty-four trillion, seven hundred ninety-one billion, nine hundred eighty million, five hundred eighteen thousand, four hundred".