1384017064128 has 112 divisors (see below), whose sum is σ = 4074048748000. Its totient is φ = 460738658304.

The previous prime is 1384017064127. The next prime is 1384017064139. The reversal of 1384017064128 is 8214607104831.

1384017064128 is a `hidden beast` number, since 138 + 401 + 70 + 6 + 41 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1384017064123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 808068 + ... + 1849596.

It is an arithmetic number, because the mean of its divisors is an integer number (36375435250).

Almost surely, 2^{1384017064128} is an apocalyptic number.

1384017064128 is a gapful number since it is divisible by the number (18) 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 1384017064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037024374000).

1384017064128 is an abundant number, since it is smaller than the sum of its proper divisors (2690031683872).

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

1384017064128 is a wasteful number, since it uses less digits than its factorization.

1384017064128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042319 (or 1042303 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1384017064128 in words is "one trillion, three hundred eighty-four billion, seventeen million, sixty-four thousand, one hundred twenty-eight".