29413712120320 has 480 divisors, whose sum is σ = 78168181291200. Its totient is φ = 10606568079360.

The previous prime is 29413712120297. The next prime is 29413712120321. The reversal of 29413712120320 is 2302121731492.

It is a self number, because there is not a number n which added to its sum of digits gives 29413712120320.

It is not an unprimeable number, because it can be changed into a prime (29413712120321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34321717332 + ... + 34321718188.

It is an arithmetic number, because the mean of its divisors is an integer number (162850377690).

Almost surely, 2^{29413712120320} is an apocalyptic number.

29413712120320 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 29413712120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39084090645600).

29413712120320 is an abundant number, since it is smaller than the sum of its proper divisors (48754469170880).

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

29413712120320 is a wasteful number, since it uses less digits than its factorization.

29413712120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 29413712120320 in words is "twenty-nine trillion, four hundred thirteen billion, seven hundred twelve million, one hundred twenty thousand, three hundred twenty".