384489401774400 has 2016 divisors, whose sum is σ = 1557618806016000. Its totient is φ = 89818514472960.

The previous prime is 384489401774399. The next prime is 384489401774419. The reversal of 384489401774400 is 4477104984483.

It is a happy number.

384489401774400 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 89 + 40 + 1 + 77 + 440 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54130561249 + ... + 54130568351.

It is an arithmetic number, because the mean of its divisors is an integer number (772628376000).

Almost surely, 2^{384489401774400} is an apocalyptic number.

384489401774400 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 384489401774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778809403008000).

384489401774400 is an abundant number, since it is smaller than the sum of its proper divisors (1173129404241600).

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

384489401774400 is a wasteful number, since it uses less digits than its factorization.

384489401774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 384489401774400 in words is "three hundred eighty-four trillion, four hundred eighty-nine billion, four hundred one million, seven hundred seventy-four thousand, four hundred".