3509430811441 has 16 divisors (see below), whose sum is σ = 3551688645120. Its totient is φ = 3467366118720.

The previous prime is 3509430811427. The next prime is 3509430811457. The reversal of 3509430811441 is 1441180349053.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3509430811441 - 2¹⁷ = 3509430680369 is a prime.

It is a super-2 number, since 2×3509430811441² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3509430811241) 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 15 ways as a sum of consecutive naturals, for example, 77511576 + ... + 77556838.

It is an arithmetic number, because the mean of its divisors is an integer number (221980540320).

Almost surely, 2^{3509430811441} is an apocalyptic number.

It is an amenable number.

3509430811441 is a deficient number, since it is larger than the sum of its proper divisors (42257833679).

3509430811441 is a wasteful number, since it uses less digits than its factorization.

3509430811441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47376.

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 3509430811441 in words is "three trillion, five hundred nine billion, four hundred thirty million, eight hundred eleven thousand, four hundred forty-one".