10768420441 has 9 divisors (see below), whose sum is σ = 11041833439. Its totient is φ = 10501625200.

The previous prime is 10768420363. The next prime is 10768420451. The reversal of 10768420441 is 14402486701.

It is a happy number.

The square root of 10768420441 is 103771.

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., 518882841 + 10249537600 = 22779^2 + 101240^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10768420441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10768420441.

It is not an unprimeable number, because it can be changed into a prime (10768420451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4253346 + ... + 4255876.

Almost surely, 2^10768420441 is an apocalyptic number.

10768420441 is the 103771-st square number.

10768420441 is the 51886-th centered octagonal number.

It is an amenable number.

10768420441 is a deficient number, since it is larger than the sum of its proper divisors (273412998).

10768420441 is an frugal number, since it uses more digits than its factorization.

10768420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 10768420441 in words is "ten billion, seven hundred sixty-eight million, four hundred twenty thousand, four hundred forty-one".