4005942205225 has 9 divisors (see below), whose sum is σ = 4967380743717. Its totient is φ = 3204745758240.

The previous prime is 4005942205201. The next prime is 4005942205241. The reversal of 4005942205225 is 5225022495004.

The square root of 4005942205225 is 2001485.

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

It can be written as a sum of positive squares in 4 ways, for example, as 941747970969 + 3064194234256 = 970437^2 + 1750484^2 .

It is not a de Polignac number, because 4005942205225 - 2¹¹ = 4005942203177 is a prime.

It is a super-3 number, since 3×4005942205225³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9807277 + ... + 10207573.

Almost surely, 2^{4005942205225} is an apocalyptic number.

4005942205225 is the 2001485-th square number.

4005942205225 is the 1000743-rd centered octagonal number.

It is an amenable number.

4005942205225 is a deficient number, since it is larger than the sum of its proper divisors (961438538492).

4005942205225 is an frugal number, since it uses more digits than its factorization.

4005942205225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800604 (or 400302 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 4005942205225 in words is "four trillion, five billion, nine hundred forty-two million, two hundred five thousand, two hundred twenty-five".