4096268357776 has 225 divisors, whose sum is σ = 9688274873055. Its totient is φ = 1672894621440.

The previous prime is 4096268357749. The next prime is 4096268357777. The reversal of 4096268357776 is 6777538626904.

The square root of 4096268357776 is 2023924.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3344787423376 + 751480934400 = 1828876^2 + 866880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4096268357777) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 95262054811 + ... + 95262054853.

Almost surely, 2^{4096268357776} is an apocalyptic number.

4096268357776 is the 2023924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096268357776

4096268357776 is an abundant number, since it is smaller than the sum of its proper divisors (5592006515279).

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

4096268357776 is an frugal number, since it uses more digits than its factorization.

4096268357776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 70.

The spelling of 4096268357776 in words is "four trillion, ninety-six billion, two hundred sixty-eight million, three hundred fifty-seven thousand, seven hundred seventy-six".