10661720422441 has 27 divisors (see below), whose sum is σ = 11840289127639. Its totient is φ = 9593242802000.

The previous prime is 10661720422393. The next prime is 10661720422511. The reversal of 10661720422441 is 14422402716601.

The square root of 10661720422441 is 3265229.

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., 10243654726041 + 418065696400 = 3200571^2 + 646580^2 .

It is not a de Polignac number, because 10661720422441 - 2²¹ = 10661718325289 is a prime.

It is a super-2 number, since 2×10661720422441² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10661720422394 and 10661720422403.

It is not an unprimeable number, because it can be changed into a prime (10661720428441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3627667950 + ... + 3627670888.

Almost surely, 2^{10661720422441} is an apocalyptic number.

10661720422441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10661720422441 is the 3265229-th square number.

10661720422441 is the 1632615-th centered octagonal number.

It is an amenable number.

10661720422441 is a deficient number, since it is larger than the sum of its proper divisors (1178568705198).

10661720422441 is an frugal number, since it uses more digits than its factorization.

10661720422441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 10661720422441 in words is "ten trillion, six hundred sixty-one billion, seven hundred twenty million, four hundred twenty-two thousand, four hundred forty-one".