4197126618721 has 9 divisors (see below), whose sum is σ = 4248475781329. Its totient is φ = 4146390835636.

The previous prime is 4197126618661. The next prime is 4197126618739. The reversal of 4197126618721 is 1278166217914.

The square root of 4197126618721 is 2048689.

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

It is not a de Polignac number, because 4197126618721 - 2³⁷ = 4059687665249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4197126618821) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 170028846 + ... + 170053528.

Almost surely, 2^{4197126618721} is an apocalyptic number.

4197126618721 is the 2048689-th square number.

4197126618721 is the 1024345-th centered octagonal number.

It is an amenable number.

4197126618721 is a deficient number, since it is larger than the sum of its proper divisors (51349162608).

4197126618721 is an frugal number, since it uses more digits than its factorization.

4197126618721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49532 (or 24766 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 55.

The spelling of 4197126618721 in words is "four trillion, one hundred ninety-seven billion, one hundred twenty-six million, six hundred eighteen thousand, seven hundred twenty-one".