4121797308841 has 27 divisors (see below), whose sum is σ = 4318851713463. Its totient is φ = 3933593791920.

The previous prime is 4121797308823. The next prime is 4121797308869. The reversal of 4121797308841 is 1488037971214.

The square root of 4121797308841 is 2030221.

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

It can be written as a sum of positive squares in only one way, i.e., 2372896857241 + 1748900451600 = 1540421^2 + 1322460^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4121797308841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4121797308821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4972010815 + ... + 4972011643.

It is an arithmetic number, because the mean of its divisors is an integer number (159957470869).

Almost surely, 2^{4121797308841} is an apocalyptic number.

4121797308841 is the 2030221-st square number.

4121797308841 is the 1015111-st centered octagonal number.

It is an amenable number.

4121797308841 is a deficient number, since it is larger than the sum of its proper divisors (197054404622).

4121797308841 is an frugal number, since it uses more digits than its factorization.

4121797308841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The spelling of 4121797308841 in words is "four trillion, one hundred twenty-one billion, seven hundred ninety-seven million, three hundred eight thousand, eight hundred forty-one".