4096128001 has 27 divisors (see below), whose sum is σ = 4905934083. Its totient is φ = 3409973280.

The previous prime is 4096127993. The next prime is 4096128061. The reversal of 4096128001 is 1008216904.

It is a happy number.

The square root of 4096128001 is 64001.

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

It can be written as a sum of positive squares in only one way, i.e., 197374401 + 3898753600 = 14049^2 + 62440^2 .

It is not a de Polignac number, because 4096128001 - 2³ = 4096127993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4096128061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18368176 + ... + 18368398.

Almost surely, 2^4096128001 is an apocalyptic number.

4096128001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4096128001 is the 64001-st square number.

4096128001 is the 32001-st centered octagonal number.

It is an amenable number.

4096128001 is a deficient number, since it is larger than the sum of its proper divisors (809806082).

4096128001 is an frugal number, since it uses more digits than its factorization.

4096128001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 4096128001 is about 1600.0166666233.

The spelling of 4096128001 in words is "four billion, ninety-six million, one hundred twenty-eight thousand, one".