29419453441 has 27 divisors (see below), whose sum is σ = 34696968579. Its totient is φ = 24871917168.

The previous prime is 29419453423. The next prime is 29419453451. The reversal of 29419453441 is 14435491492.

The square root of 29419453441 is 171521.

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., 27399849841 + 2019603600 = 165529^2 + 44940^2 .

It is not a de Polignac number, because 29419453441 - 2²³ = 29411064833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29419453391 and 29419453400.

It is not an unprimeable number, because it can be changed into a prime (29419453451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128469115 + ... + 128469343.

Almost surely, 2^29419453441 is an apocalyptic number.

29419453441 is the 171521-st square number.

29419453441 is the 85761-st centered octagonal number.

It is an amenable number.

29419453441 is a deficient number, since it is larger than the sum of its proper divisors (5277515138).

29419453441 is an frugal number, since it uses more digits than its factorization.

29419453441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 29419453441 in words is "twenty-nine billion, four hundred nineteen million, four hundred fifty-three thousand, four hundred forty-one".