4891161290409 has 63 divisors (see below), whose sum is σ = 7415857990407. Its totient is φ = 3224508426000.

The previous prime is 4891161290387. The next prime is 4891161290417. The reversal of 4891161290409 is 9040921611984.

The square root of 4891161290409 is 2211597.

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

4891161290409 is a `hidden beast` number, since 4 + 8 + 9 + 11 + 612 + 9 + 0 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4699369846809 + 191791443600 = 2167803^2 + 437940^2 .

It is not a de Polignac number, because 4891161290409 - 2⁵ = 4891161290377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4891161290479) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6031024614 + ... + 6031025424.

Almost surely, 2^{4891161290409} is an apocalyptic number.

4891161290409 is the 2211597-th square number.

4891161290409 is the 1105799-th centered octagonal number.

It is an amenable number.

4891161290409 is a deficient number, since it is larger than the sum of its proper divisors (2524696699998).

4891161290409 is an frugal number, since it uses more digits than its factorization.

4891161290409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 4891161290409 in words is "four trillion, eight hundred ninety-one billion, one hundred sixty-one million, two hundred ninety thousand, four hundred nine".