29435822379441 has 15 divisors (see below), whose sum is σ = 43972103904553. Its totient is φ = 19623849033420.

The previous prime is 29435822379391. The next prime is 29435822379461. The reversal of 29435822379441 is 14497322853492.

It is a happy number.

The square root of 29435822379441 is 5425479.

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

29435822379441 is a `hidden beast` number, since 2 + 9 + 4 + 3 + 582 + 2 + 3 + 7 + 9 + 4 + 41 = 666.

It is not a de Polignac number, because 29435822379441 - 2²⁹ = 29435285508529 is a prime.

It is a super-2 number, since 2×29435822379441² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29435822379461) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 48527896 + ... + 49130726.

Almost surely, 2^{29435822379441} is an apocalyptic number.

29435822379441 is the 5425479-th square number.

29435822379441 is the 2712740-th centered octagonal number.

It is an amenable number.

29435822379441 is a deficient number, since it is larger than the sum of its proper divisors (14536281525112).

29435822379441 is an frugal number, since it uses more digits than its factorization.

29435822379441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205674 (or 602834 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 29435822379441 in words is "twenty-nine trillion, four hundred thirty-five billion, eight hundred twenty-two million, three hundred seventy-nine thousand, four hundred forty-one".