4671520128 has 160 divisors (see below), whose sum is σ = 15166590120. Its totient is φ = 1415577600.

The previous prime is 4671520111. The next prime is 4671520153. The reversal of 4671520128 is 8210251764.

4671520128 is a `hidden beast` number, since 4 + 6 + 7 + 1 + 520 + 128 = 666.

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 = 4671520092 and 4671520101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93568 + ... + 134528.

Almost surely, 2^4671520128 is an apocalyptic number.

4671520128 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 4671520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583295060).

4671520128 is an abundant number, since it is smaller than the sum of its proper divisors (10495069992).

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

4671520128 is a wasteful number, since it uses less digits than its factorization.

4671520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40998 (or 40977 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4671520128 is about 68348.5195743112. The cubic root of 4671520128 is about 1671.6784406379.

The spelling of 4671520128 in words is "four billion, six hundred seventy-one million, five hundred twenty thousand, one hundred twenty-eight".