4408144128 has 108 divisors (see below), whose sum is σ = 12884364220. Its totient is φ = 1449197568.

The previous prime is 4408144121. The next prime is 4408144129. The reversal of 4408144128 is 8214418044.

It can be written as a sum of positive squares in 2 ways, for example, as 2053177344 + 2354966784 = 45312^2 + 48528^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4408144092 and 4408144101.

It is not an unprimeable number, because it can be changed into a prime (4408144121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155088 + ... + 181296.

Almost surely, 2^4408144128 is an apocalyptic number.

4408144128 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 4408144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442182110).

4408144128 is an abundant number, since it is smaller than the sum of its proper divisors (8476220092).

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

4408144128 is a wasteful number, since it uses less digits than its factorization.

4408144128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26304 (or 26287 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4408144128 is about 66393.8561012990. The cubic root of 4408144128 is about 1639.6529267524.

It can be divided in two parts, 44081 and 44128, that added together give a square (88209 = 297²).

The spelling of 4408144128 in words is "four billion, four hundred eight million, one hundred forty-four thousand, one hundred twenty-eight".