128413727424 has 336 divisors, whose sum is σ = 405587460096. Its totient is φ = 38668492800.

The previous prime is 128413727383. The next prime is 128413727473. The reversal of 128413727424 is 424727314821.

128413727424 is a `hidden beast` number, since 12 + 84 + 137 + 2 + 7 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128413727424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38549439 + ... + 38552769.

It is an arithmetic number, because the mean of its divisors is an integer number (1207105536).

Almost surely, 2^128413727424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128413727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202793730048).

128413727424 is an abundant number, since it is smaller than the sum of its proper divisors (277173732672).

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

128413727424 is a wasteful number, since it uses less digits than its factorization.

128413727424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3511 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The spelling of 128413727424 in words is "one hundred twenty-eight billion, four hundred thirteen million, seven hundred twenty-seven thousand, four hundred twenty-four".