440128416 has 192 divisors, whose sum is σ = 1441456128. Its totient is φ = 114490368.

The previous prime is 440128411. The next prime is 440128417. The reversal of 440128416 is 614821044.

It is not an unprimeable number, because it can be changed into a prime (440128411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 724785 + ... + 725391.

It is an arithmetic number, because the mean of its divisors is an integer number (7507584).

Almost surely, 2^440128416 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 440128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720728064).

440128416 is an abundant number, since it is smaller than the sum of its proper divisors (1001327712).

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

440128416 is a wasteful number, since it uses less digits than its factorization.

440128416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 440128416 is about 20979.2377363907. The cubic root of 440128416 is about 760.6644788857.

The spelling of 440128416 in words is "four hundred forty million, one hundred twenty-eight thousand, four hundred sixteen".