128076405417 has 96 divisors (see below), whose sum is σ = 219492720000. Its totient is φ = 73504392192.

The previous prime is 128076405371. The next prime is 128076405433. The reversal of 128076405417 is 714504670821.

128076405417 is a `hidden beast` number, since 128 + 0 + 76 + 40 + 5 + 417 = 666.

It is not a de Polignac number, because 128076405417 - 2²⁶ = 128009296553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128076405467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4284559 + ... + 4314347.

It is an arithmetic number, because the mean of its divisors is an integer number (2286382500).

Almost surely, 2^128076405417 is an apocalyptic number.

128076405417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

128076405417 is a deficient number, since it is larger than the sum of its proper divisors (91416314583).

128076405417 is a wasteful number, since it uses less digits than its factorization.

128076405417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29880 (or 29857 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 128076405417 in words is "one hundred twenty-eight billion, seventy-six million, four hundred five thousand, four hundred seventeen".