4066090767025 has 81 divisors (see below), whose sum is σ = 6232269567459. Its totient is φ = 2623391823360.

The previous prime is 4066090767023. The next prime is 4066090767031. The reversal of 4066090767025 is 5207670906604.

The square root of 4066090767025 is 2016455.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1383170481 + 4064707596544 = 37191^2 + 2016112^2 .

It is not a de Polignac number, because 4066090767025 - 2¹ = 4066090767023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4066090767023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1199789031 + ... + 1199792419.

Almost surely, 2^{4066090767025} is an apocalyptic number.

4066090767025 is the 2016455-th square number.

4066090767025 is the 1008228-th centered octagonal number.

It is an amenable number.

4066090767025 is a deficient number, since it is larger than the sum of its proper divisors (2166178800434).

4066090767025 is an frugal number, since it uses more digits than its factorization.

4066090767025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 4066090767025 in words is "four trillion, sixty-six billion, ninety million, seven hundred sixty-seven thousand, twenty-five".