4096000001 has 8 divisors (see below), whose sum is σ = 4165847208. Its totient is φ = 4026240000.

The previous prime is 4095999983. The next prime is 4096000019. The reversal of 4096000001 is 1000006904.

It is a Cunningham number, because it is equal to 40⁶+1.

It is an interprime number because it is at equal distance from previous prime (4095999983) and next prime (4096000019).

It can be written as a sum of positive squares in 4 ways, for example, as 70224400 + 4025775601 = 8380^2 + 63449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4096000001 - 2²⁶ = 4028891137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4096000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76691 + ... + 118631.

It is an arithmetic number, because the mean of its divisors is an integer number (520730901).

It is a Proth number, since it is equal to 15625 ⋅ 2¹⁸ + 1 and 15625 < 2¹⁸.

Almost surely, 2^4096000001 is an apocalyptic number.

It is an amenable number.

4096000001 is a deficient number, since it is larger than the sum of its proper divisors (69847207).

4096000001 is a wasteful number, since it uses less digits than its factorization.

4096000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43603.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 4096000001 is about 64000.0000078125. Note that the first 5 decimals coincide. The cubic root of 4096000001 is about 1600.0000001302. Note that the first 6 decimals are identical.

Adding to 4096000001 its reverse (1000006904), we get a palindrome (5096006905).

The spelling of 4096000001 in words is "four billion, ninety-six million, one", and thus it is an aban number.