29473037431120 has 80 divisors (see below), whose sum is σ = 68644863144000. Its totient is φ = 11768577149952.

The previous prime is 29473037431091. The next prime is 29473037431121. The reversal of 29473037431120 is 2113473037492.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29473037431121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118004131 + ... + 118253629.

It is an arithmetic number, because the mean of its divisors is an integer number (858060789300).

Almost surely, 2^{29473037431120} is an apocalyptic number.

29473037431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29473037431120 is an abundant number, since it is smaller than the sum of its proper divisors (39171825712880).

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

29473037431120 is a wasteful number, since it uses less digits than its factorization.

29473037431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252092 (or 252086 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 29473037431120 in words is "twenty-nine trillion, four hundred seventy-three billion, thirty-seven million, four hundred thirty-one thousand, one hundred twenty".