4314680134128 has 480 divisors, whose sum is σ = 15672165250560. Its totient is φ = 1076096378880.

The previous prime is 4314680134031. The next prime is 4314680134129. The reversal of 4314680134128 is 8214310864134.

4314680134128 is a `hidden beast` number, since 4 + 3 + 146 + 80 + 13 + 412 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314680134129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140158098 + ... + 140188878.

It is an arithmetic number, because the mean of its divisors is an integer number (32650344272).

Almost surely, 2^{4314680134128} is an apocalyptic number.

4314680134128 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 4314680134128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836082625280).

4314680134128 is an abundant number, since it is smaller than the sum of its proper divisors (11357485116432).

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

4314680134128 is a wasteful number, since it uses less digits than its factorization.

4314680134128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31397 (or 31388 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4314680134128 in words is "four trillion, three hundred fourteen billion, six hundred eighty million, one hundred thirty-four thousand, one hundred twenty-eight".