4096000000 has 133 divisors (see below), whose sum is σ = 10239849397. Its totient is φ = 1638400000.

The previous prime is 4095999983. The next prime is 4096000019. The reversal of 4096000000 is 6904.

It is a happy number.

The square root of 4096000000 is 64000.

The cubic root of 4096000000 is 1600.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 3588489216 + 507510784 = 59904^2 + 22528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 819199998 + ... + 819200002.

Almost surely, 2^4096000000 is an apocalyptic number.

4096000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4096000000 is the 64000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096000000

4096000000 is an abundant number, since it is smaller than the sum of its proper divisors (6143849397).

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

4096000000 is an frugal number, since it uses more digits than its factorization.

4096000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Multiplying 4096000000 by its product of nonzero digits (216), we get a cube (884736000000 = 9600³).

Adding to 4096000000 its reverse (6904), we get a palindrome (4096006904).

The spelling of 4096000000 in words is "four billion, ninety-six million", and thus it is an aban number.