384105156480000 has 330 divisors, whose sum is σ = 1385925512312484. Its totient is φ = 102428040192000.

The previous prime is 384105156479981. The next prime is 384105156480007. The reversal of 384105156480000 is 84651501483.

384105156480000 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 0 + 5 + 1 + 564 + 80 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×384105156480000³ (a number of 45 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (384105156480007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27582462 + ... + 39102461.

Almost surely, 2^{384105156480000} is an apocalyptic number.

384105156480000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384105156480000 is an abundant number, since it is smaller than the sum of its proper divisors (1001820355832484).

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

384105156480000 is an equidigital number, since it uses as much as digits as its factorization.

384105156480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66684969 (or 66684933 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 384105156480000 in words is "three hundred eighty-four trillion, one hundred five billion, one hundred fifty-six million, four hundred eighty thousand".