10910819741409 has 63 divisors (see below), whose sum is σ = 19030650799107. Its totient is φ = 6234397397424.

The previous prime is 10910819741377. The next prime is 10910819741467. The reversal of 10910819741409 is 90414791801901.

It is a happy number.

The square root of 10910819741409 is 3303153.

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

10910819741409 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 0 + 8 + 197 + 41 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 891239843025 + 10019579898384 = 944055^2 + 3165372^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 10910819741409 - 2⁵ = 10910819741377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10910819741509) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 624287179 + ... + 624304655.

Almost surely, 2^{10910819741409} is an apocalyptic number.

10910819741409 is the 3303153-rd square number.

10910819741409 is the 1651577-th centered octagonal number.

It is an amenable number.

10910819741409 is a deficient number, since it is larger than the sum of its proper divisors (8119831057698).

10910819741409 is an frugal number, since it uses more digits than its factorization.

10910819741409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34986 (or 17487 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 10910819741409 in words is "ten trillion, nine hundred ten billion, eight hundred nineteen million, seven hundred forty-one thousand, four hundred nine".