29442240000 has 300 divisors, whose sum is σ = 106191770256. Its totient is φ = 7850496000.

The previous prime is 29442239977. The next prime is 29442240019. The reversal of 29442240000 is 4224492.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 2874889 + ... + 2885111.

Almost surely, 2^29442240000 is an apocalyptic number.

29442240000 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 29442240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53095885128).

29442240000 is an abundant number, since it is smaller than the sum of its proper divisors (76749530256).

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

29442240000 is an equidigital number, since it uses as much as digits as its factorization.

29442240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 29442240000 its reverse (4224492), we get a palindrome (29446464492).

The spelling of 29442240000 in words is "twenty-nine billion, four hundred forty-two million, two hundred forty thousand".