4166615830441 has 9 divisors (see below), whose sum is σ = 4173250158309. Its totient is φ = 4159992042336.

The previous prime is 4166615830417. The next prime is 4166615830451. The reversal of 4166615830441 is 1440385166614.

The square root of 4166615830441 is 2041229.

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

4166615830441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3572020620441 + 594595210000 = 1889979^2 + 771100^2 .

It is not a de Polignac number, because 4166615830441 - 2²⁹ = 4166078959529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4166615830411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1741167141 + ... + 1741169533.

Almost surely, 2^{4166615830441} is an apocalyptic number.

4166615830441 is the 2041229-th square number.

4166615830441 is the 1020615-th centered octagonal number.

It is an amenable number.

4166615830441 is a deficient number, since it is larger than the sum of its proper divisors (6634327868).

4166615830441 is an frugal number, since it uses more digits than its factorization.

4166615830441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 4166615830441 by its sum of digits (49), we get a square (204164175691609 = 14288603²).

The spelling of 4166615830441 in words is "four trillion, one hundred sixty-six billion, six hundred fifteen million, eight hundred thirty thousand, four hundred forty-one".