128410422336 has 567 divisors, whose sum is σ = 450301712679. Its totient is φ = 36224278272.

The previous prime is 128410422317. The next prime is 128410422337. The reversal of 128410422336 is 633224014821.

The square root of 128410422336 is 358344.

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

128410422336 is a `hidden beast` number, since 1 + 2 + 8 + 410 + 4 + 2 + 233 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 128410422336.

It is not an unprimeable number, because it can be changed into a prime (128410422337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1625448345 + ... + 1625448423.

Almost surely, 2^128410422336 is an apocalyptic number.

128410422336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128410422336 is the 358344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128410422336

128410422336 is an abundant number, since it is smaller than the sum of its proper divisors (321891290343).

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

128410422336 is an frugal number, since it uses more digits than its factorization.

128410422336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 128410422336 by its sum of digits (36), we get a square (4622775204096 = 2150064²).

128410422336 divided by its sum of digits (36) gives a square (3566956176 = 59724²).

The spelling of 128410422336 in words is "one hundred twenty-eight billion, four hundred ten million, four hundred twenty-two thousand, three hundred thirty-six".