384158661120 has 960 divisors, whose sum is σ = 1510162093440. Its totient is φ = 93019373568.

The previous prime is 384158661071. The next prime is 384158661167. The reversal of 384158661120 is 21166851483.

384158661120 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 5 + 8 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541831326 + ... + 541832034.

It is an arithmetic number, because the mean of its divisors is an integer number (1573085514).

Almost surely, 2^384158661120 is an apocalyptic number.

384158661120 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 384158661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755081046720).

384158661120 is an abundant number, since it is smaller than the sum of its proper divisors (1126003432320).

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

384158661120 is an equidigital number, since it uses as much as digits as its factorization.

384158661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 384158661120 in words is "three hundred eighty-four billion, one hundred fifty-eight million, six hundred sixty-one thousand, one hundred twenty".