29113873655040 has 432 divisors, whose sum is σ = 106421625273600. Its totient is φ = 7336492843008.

The previous prime is 29113873655039. The next prime is 29113873655051. The reversal of 29113873655040 is 4055637831192.

It is a happy number.

29113873655040 is a `hidden beast` number, since 2 + 9 + 1 + 1 + 3 + 8 + 73 + 65 + 504 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14774671 + ... + 16628849.

It is an arithmetic number, because the mean of its divisors is an integer number (246346354800).

It is a 1-persistent number, because it is pandigital, but 2⋅29113873655040 = 58227747310080 is not.

Almost surely, 2^{29113873655040} is an apocalyptic number.

29113873655040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29113873655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53210812636800).

29113873655040 is an abundant number, since it is smaller than the sum of its proper divisors (77307751618560).

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

29113873655040 is a wasteful number, since it uses less digits than its factorization.

29113873655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854282 (or 1854265 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 29113873655040 in words is "twenty-nine trillion, one hundred thirteen billion, eight hundred seventy-three million, six hundred fifty-five thousand, forty".