29403820755841 has 27 divisors (see below), whose sum is σ = 34458473128131. Its totient is φ = 25017466554864.

The previous prime is 29403820755779. The next prime is 29403820755847. The reversal of 29403820755841 is 14855702830492.

The square root of 29403820755841 is 5422529.

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., 1262960154225 + 28140860601616 = 1123815^2 + 5304796^2 .

It is not a de Polignac number, because 29403820755841 - 2²¹ = 29403818658689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29403820755847) 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, 5276117931 + ... + 5276123503.

Almost surely, 2^{29403820755841} is an apocalyptic number.

29403820755841 is the 5422529-th square number.

29403820755841 is the 2711265-th centered octagonal number.

It is an amenable number.

29403820755841 is a deficient number, since it is larger than the sum of its proper divisors (5054652372290).

29403820755841 is an frugal number, since it uses more digits than its factorization.

29403820755841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11438 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 29403820755841 in words is "twenty-nine trillion, four hundred three billion, eight hundred twenty million, seven hundred fifty-five thousand, eight hundred forty-one".