384441014200320 has 3456 divisors, whose sum is σ = 1752481672381440. Its totient is φ = 76993265664000.

The previous prime is 384441014200301. The next prime is 384441014200339. The reversal of 384441014200320 is 23002410144483.

384441014200320 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 410 + 1 + 4 + 200 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (384441014200301) and next prime (384441014200339).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 648298505944 + ... + 648298506536.

It is an arithmetic number, because the mean of its divisors is an integer number (507083817240).

Almost surely, 2^{384441014200320} is an apocalyptic number.

384441014200320 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 384441014200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876240836190720).

384441014200320 is an abundant number, since it is smaller than the sum of its proper divisors (1368040658181120).

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

384441014200320 is a wasteful number, since it uses less digits than its factorization.

384441014200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 384441014200320 in words is "three hundred eighty-four trillion, four hundred forty-one billion, fourteen million, two hundred thousand, three hundred twenty".