4128644520 has 1280 divisors, whose sum is σ = 19905177600. Its totient is φ = 739031040.

The previous prime is 4128644491. The next prime is 4128644551. The reversal of 4128644520 is 254468214.

4128644520 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 644 + 5 + 2 + 0 = 666.

4128644520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 61621527 + ... + 61621593.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^4128644520 is an apocalyptic number.

4128644520 is a gapful number since it is divisible by the number (40) 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 4128644520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952588800).

4128644520 is an abundant number, since it is smaller than the sum of its proper divisors (15776533080).

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

4128644520 is a wasteful number, since it uses less digits than its factorization.

4128644520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4128644520 is about 64254.5291788836. The cubic root of 4128644520 is about 1604.2393460866.

The spelling of 4128644520 in words is "four billion, one hundred twenty-eight million, six hundred forty-four thousand, five hundred twenty".