128124414 has 48 divisors (see below), whose sum is σ = 311042160. Its totient is φ = 37774080.

The previous prime is 128124389. The next prime is 128124433. The reversal of 128124414 is 414421821.

128124414 is a `hidden beast` number, since 128 + 124 + 414 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1419 + ... + 16070.

It is an arithmetic number, because the mean of its divisors is an integer number (6480045).

Almost surely, 2^128124414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128124414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155521080).

128124414 is an abundant number, since it is smaller than the sum of its proper divisors (182917746).

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

128124414 is a wasteful number, since it uses less digits than its factorization.

128124414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17545 (or 17542 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 128124414 is about 11319.2055374925. The cubic root of 128124414 is about 504.1316502268.

The spelling of 128124414 in words is "one hundred twenty-eight million, one hundred twenty-four thousand, four hundred fourteen".