29442613332 has 192 divisors, whose sum is σ = 80427110400. Its totient is φ = 8289216000.

The previous prime is 29442613309. The next prime is 29442613339. The reversal of 29442613332 is 23331624492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29442613339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35861482 + ... + 35862302.

It is an arithmetic number, because the mean of its divisors is an integer number (418891200).

Almost surely, 2^29442613332 is an apocalyptic number.

29442613332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 171588×171589.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29442613332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40213555200).

29442613332 is an abundant number, since it is smaller than the sum of its proper divisors (50984497068).

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

29442613332 is a wasteful number, since it uses less digits than its factorization.

29442613332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The spelling of 29442613332 in words is "twenty-nine billion, four hundred forty-two million, six hundred thirteen thousand, three hundred thirty-two".