29071369642128 has 640 divisors, whose sum is σ = 94037748056064. Its totient is φ = 7625827123200.

The previous prime is 29071369642123. The next prime is 29071369642199. The reversal of 29071369642128 is 82124696317092.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29071369642123) 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 127 ways as a sum of consecutive naturals, for example, 1004767950 + ... + 1004796882.

Almost surely, 2^{29071369642128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29071369642128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47018874028032).

29071369642128 is an abundant number, since it is smaller than the sum of its proper divisors (64966378413936).

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

29071369642128 is a wasteful number, since it uses less digits than its factorization.

29071369642128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29183 (or 29177 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 29071369642128 in words is "twenty-nine trillion, seventy-one billion, three hundred sixty-nine million, six hundred forty-two thousand, one hundred twenty-eight".