10872441441 has 9 divisors (see below), whose sum is σ = 15705089491. Its totient is φ = 7248085752.

The previous prime is 10872441413. The next prime is 10872441457. The reversal of 10872441441 is 14414427801.

The square root of 10872441441 is 104271.

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

10872441441 is a `hidden beast` number, since 108 + 72 + 4 + 41 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2627075025 + 8245366416 = 51255^2 + 90804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10872441441 - 2²³ = 10864052833 is a prime.

It is a super-3 number, since 3×10872441441³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10872441396 and 10872441405.

It is not an unprimeable number, because it can be changed into a prime (10872441841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 295435 + ... + 330191.

Almost surely, 2^10872441441 is an apocalyptic number.

10872441441 is the 104271-st square number.

10872441441 is the 52136-th centered octagonal number.

It is an amenable number.

10872441441 is a deficient number, since it is larger than the sum of its proper divisors (4832648050).

10872441441 is an frugal number, since it uses more digits than its factorization.

10872441441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69520 (or 34760 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Multiplying 10872441441 by its sum of digits (36), we get a square (391407891876 = 625626²).

The spelling of 10872441441 in words is "ten billion, eight hundred seventy-two million, four hundred forty-one thousand, four hundred forty-one".