440122128 has 80 divisors (see below), whose sum is σ = 1179734016. Its totient is φ = 141240960.

The previous prime is 440122127. The next prime is 440122139. The reversal of 440122128 is 821221044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 440122098 and 440122107.

It is not an unprimeable number, because it can be changed into a prime (440122121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337125 + ... + 338427.

Almost surely, 2^440122128 is an apocalyptic number.

440122128 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 440122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589867008).

440122128 is an abundant number, since it is smaller than the sum of its proper divisors (739611888).

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

440122128 is a wasteful number, since it uses less digits than its factorization.

440122128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 440122128 is about 20979.0878734038. The cubic root of 440122128 is about 760.6608563968.

The spelling of 440122128 in words is "four hundred forty million, one hundred twenty-two thousand, one hundred twenty-eight".