4641288128 has 56 divisors (see below), whose sum is σ = 9621499680. Its totient is φ = 2217205760.

The previous prime is 4641288089. The next prime is 4641288131. The reversal of 4641288128 is 8218821464.

It is a Cunningham number, because it is equal to 68127²-1.

It is a super-2 number, since 2×4641288128² = 43083110974227488768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2178968 + ... + 2181096.

Almost surely, 2^4641288128 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 4641288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810749840).

4641288128 is an abundant number, since it is smaller than the sum of its proper divisors (4980211552).

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

4641288128 is a wasteful number, since it uses less digits than its factorization.

4641288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3635 counting only the distinct ones).

The product of its digits is 196608, while the sum is 44.

The square root of 4641288128 is about 68126.9999926608. Note that the first 5 decimals coincide. The cubic root of 4641288128 is about 1668.0645137575.

The spelling of 4641288128 in words is "four billion, six hundred forty-one million, two hundred eighty-eight thousand, one hundred twenty-eight".