128000088441 has 27 divisors (see below), whose sum is σ = 191095244613. Its totient is φ = 82559235960.

The previous prime is 128000088347. The next prime is 128000088467. The reversal of 128000088441 is 144880000821.

It is a happy number.

The square root of 128000088441 is 357771.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-128000088441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 128000088396 and 128000088405.

It is not an unprimeable number, because it can be changed into a prime (128000088481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33270780 + ... + 33274626.

Almost surely, 2^128000088441 is an apocalyptic number.

128000088441 is the 357771-st square number.

128000088441 is the 178886-th centered octagonal number.

It is an amenable number.

128000088441 is a deficient number, since it is larger than the sum of its proper divisors (63095156172).

128000088441 is an frugal number, since it uses more digits than its factorization.

128000088441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7762 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

Multiplying 128000088441 by its sum of digits (36), we get a square (4608003183876 = 2146626²).

The spelling of 128000088441 in words is "one hundred twenty-eight billion, eighty-eight thousand, four hundred forty-one".