29971089082340 has 192 divisors, whose sum is σ = 75205426544640. Its totient is φ = 9820313717760.

The previous prime is 29971089082313. The next prime is 29971089082343. The reversal of 29971089082340 is 4328098017992.

It is not an unprimeable number, because it can be changed into a prime (29971089082343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57329207 + ... + 57849633.

It is an arithmetic number, because the mean of its divisors is an integer number (391694929920).

Almost surely, 2^{29971089082340} is an apocalyptic number.

29971089082340 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 29971089082340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37602713272320).

29971089082340 is an abundant number, since it is smaller than the sum of its proper divisors (45234337462300).

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

29971089082340 is a wasteful number, since it uses less digits than its factorization.

29971089082340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520690 (or 520688 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 62.

The spelling of 29971089082340 in words is "twenty-nine trillion, nine hundred seventy-one billion, eighty-nine million, eighty-two thousand, three hundred forty".