4400656128 has 432 divisors, whose sum is σ = 14731516800. Its totient is φ = 1298903040.

The previous prime is 4400656031. The next prime is 4400656129. The reversal of 4400656128 is 8216560044.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 4400656092 and 4400656101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400656129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40372938 + ... + 40373046.

Almost surely, 2^4400656128 is an apocalyptic number.

4400656128 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 4400656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365758400).

4400656128 is an abundant number, since it is smaller than the sum of its proper divisors (10330860672).

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

4400656128 is a wasteful number, since it uses less digits than its factorization.

4400656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4400656128 is about 66337.4413736315. The cubic root of 4400656128 is about 1638.7239886115.

The spelling of 4400656128 in words is "four billion, four hundred million, six hundred fifty-six thousand, one hundred twenty-eight".