4466128128 has 216 divisors, whose sum is σ = 15085455840. Its totient is φ = 1159925760.

The previous prime is 4466128099. The next prime is 4466128129. The reversal of 4466128128 is 8218216644.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4466128128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466128129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408558 + ... + 419346.

Almost surely, 2^4466128128 is an apocalyptic number.

4466128128 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 4466128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542727920).

4466128128 is an abundant number, since it is smaller than the sum of its proper divisors (10619327712).

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

4466128128 is a wasteful number, since it uses less digits than its factorization.

4466128128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10833 (or 10812 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 4466128128 is about 66829.0964176533. The cubic root of 4466128128 is about 1646.8108743617.

The spelling of 4466128128 in words is "four billion, four hundred sixty-six million, one hundred twenty-eight thousand, one hundred twenty-eight".