29040958256838 has 192 divisors, whose sum is σ = 67618835665920. Its totient is φ = 8285593187520.

The previous prime is 29040958256831. The next prime is 29040958256851. The reversal of 29040958256838 is 83865285904092.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29040958256831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1469451145 + ... + 1469470907.

It is an arithmetic number, because the mean of its divisors is an integer number (352181435760).

Almost surely, 2^{29040958256838} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29040958256838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33809417832960).

29040958256838 is an abundant number, since it is smaller than the sum of its proper divisors (38577877409082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29040958256838 is a wasteful number, since it uses less digits than its factorization.

29040958256838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20463 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 69.

The spelling of 29040958256838 in words is "twenty-nine trillion, forty billion, nine hundred fifty-eight million, two hundred fifty-six thousand, eight hundred thirty-eight".