29321080044340 has 480 divisors, whose sum is σ = 74714801243040. Its totient is φ = 9657452593152.

The previous prime is 29321080044313. The next prime is 29321080044359. The reversal of 29321080044340 is 4344008012392.

It can be written as a sum of positive squares in 16 ways, for example, as 1541476199844 + 27779603844496 = 1241562^2 + 5270636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29321080044293 and 29321080044302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71689682056 + ... + 71689682464.

It is an arithmetic number, because the mean of its divisors is an integer number (155655835923).

Almost surely, 2^{29321080044340} is an apocalyptic number.

29321080044340 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 29321080044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37357400621520).

29321080044340 is an abundant number, since it is smaller than the sum of its proper divisors (45393721198700).

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

29321080044340 is a wasteful number, since it uses less digits than its factorization.

29321080044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 29321080044340 in words is "twenty-nine trillion, three hundred twenty-one billion, eighty million, forty-four thousand, three hundred forty".