440128080 has 400 divisors, whose sum is σ = 1809122304. Its totient is φ = 97044480.

The previous prime is 440128067. The next prime is 440128081. The reversal of 440128080 is 80821044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440128081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1406004 + ... + 1406316.

Almost surely, 2^440128080 is an apocalyptic number.

440128080 is a gapful number since it is divisible by the number (40) 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 440128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904561152).

440128080 is an abundant number, since it is smaller than the sum of its proper divisors (1368994224).

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

440128080 is a wasteful number, since it uses less digits than its factorization.

440128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 440128080 is about 20979.2297284719. The cubic root of 440128080 is about 760.6642853185.

The spelling of 440128080 in words is "four hundred forty million, one hundred twenty-eight thousand, eighty".