384359399424000 has 7680 divisors, whose sum is σ = 2005017670656000. Its totient is φ = 71345111040000.

The previous prime is 384359399423977. The next prime is 384359399424073. The reversal of 384359399424000 is 424993953483.

384359399424000 is a `hidden beast` number, since 3 + 8 + 4 + 35 + 93 + 99 + 424 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12398690303985 + ... + 12398690304015.

It is an arithmetic number, because the mean of its divisors is an integer number (261070009200).

Almost surely, 2^{384359399424000} is an apocalyptic number.

384359399424000 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 384359399424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002508835328000).

384359399424000 is an abundant number, since it is smaller than the sum of its proper divisors (1620658271232000).

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

384359399424000 is an equidigital number, since it uses as much as digits as its factorization.

384359399424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 384359399424000 in words is "three hundred eighty-four trillion, three hundred fifty-nine billion, three hundred ninety-nine million, four hundred twenty-four thousand".