4138030666225 has 27 divisors (see below), whose sum is σ = 5259890736289. Its totient is φ = 3229356996800.

The previous prime is 4138030666219. The next prime is 4138030666277. The reversal of 4138030666225 is 5226660308314.

The square root of 4138030666225 is 2034215.

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 1741763818081 + 2396266848144 = 1319759^2 + 1547988^2 .

It is not a de Polignac number, because 4138030666225 - 2²³ = 4138022277617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 417009114 + ... + 417019036.

Almost surely, 2^{4138030666225} is an apocalyptic number.

4138030666225 is the 2034215-th square number.

4138030666225 is the 1017108-th centered octagonal number.

It is an amenable number.

4138030666225 is a deficient number, since it is larger than the sum of its proper divisors (1121860070064).

4138030666225 is an frugal number, since it uses more digits than its factorization.

4138030666225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19938 (or 9969 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 4138030666225 in words is "four trillion, one hundred thirty-eight billion, thirty million, six hundred sixty-six thousand, two hundred twenty-five".