4114281472128 has 2048 divisors, whose sum is σ = 14949328896000. Its totient is φ = 1103619686400.

The previous prime is 4114281472127. The next prime is 4114281472139. The reversal of 4114281472128 is 8212741824114.

4114281472128 is a `hidden beast` number, since 4 + 1 + 1 + 428 + 1 + 4 + 7 + 212 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4114281472127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57947626333 + ... + 57947626403.

It is an arithmetic number, because the mean of its divisors is an integer number (7299477000).

Almost surely, 2^{4114281472128} is an apocalyptic number.

4114281472128 is a gapful number since it is divisible by the number (48) 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 4114281472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474664448000).

4114281472128 is an abundant number, since it is smaller than the sum of its proper divisors (10835047423872).

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

4114281472128 is a wasteful number, since it uses less digits than its factorization.

4114281472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The spelling of 4114281472128 in words is "four trillion, one hundred fourteen billion, two hundred eighty-one million, four hundred seventy-two thousand, one hundred twenty-eight".