4128576516 has 27 divisors (see below), whose sum is σ = 10437098581. Its totient is φ = 1376063664.

The previous prime is 4128576511. The next prime is 4128576527. The reversal of 4128576516 is 6156758214.

The square root of 4128576516 is 64254.

It is a perfect power (a square), and thus also a powerful number.

4128576516 is a `hidden beast` number, since 4 + 1 + 28 + 576 + 51 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3975806916 + 152769600 = 63054^2 + 12360^2 .

It is a super-3 number, since 3×4128576516³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4128576511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 380170 + ... + 390878.

Almost surely, 2^4128576516 is an apocalyptic number.

4128576516 is the 64254-th square number.

It is an amenable number.

4128576516 is an abundant number, since it is smaller than the sum of its proper divisors (6308522065).

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

4128576516 is an equidigital number, since it uses as much as digits as its factorization.

4128576516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21428 (or 10714 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The cubic root of 4128576516 is about 1604.2305380875.

It can be divided in two parts, 4128 and 576516, that added together give a square (580644 = 762²).

The spelling of 4128576516 in words is "four billion, one hundred twenty-eight million, five hundred seventy-six thousand, five hundred sixteen".