440128128 has 128 divisors (see below), whose sum is σ = 1319716800. Its totient is φ = 128737280.

The previous prime is 440128121. The next prime is 440128151. The reversal of 440128128 is 821821044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 440128095 and 440128104.

It is not an unprimeable number, because it can be changed into a prime (440128121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120700 + ... + 124292.

Almost surely, 2^440128128 is an apocalyptic number.

440128128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659858400).

440128128 is an abundant number, since it is smaller than the sum of its proper divisors (879588672).

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

440128128 is a wasteful number, since it uses less digits than its factorization.

440128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 440128128 is about 20979.2308724605. The cubic root of 440128128 is about 760.6643129710.

The spelling of 440128128 in words is "four hundred forty million, one hundred twenty-eight thousand, one hundred twenty-eight".