29824241142820 has 24 divisors (see below), whose sum is σ = 63385495637184. Its totient is φ = 11785965173856.

The previous prime is 29824241142809. The next prime is 29824241142821. The reversal of 29824241142820 is 2824114242892.

It is not an unprimeable number, because it can be changed into a prime (29824241142821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8983203504 + ... + 8983206823.

It is an arithmetic number, because the mean of its divisors is an integer number (2641062318216).

Almost surely, 2^{29824241142820} is an apocalyptic number.

29824241142820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29824241142820 is an abundant number, since it is smaller than the sum of its proper divisors (33561254494364).

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

29824241142820 is a wasteful number, since it uses less digits than its factorization.

29824241142820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966410419 (or 17966410417 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 29824241142820 in words is "twenty-nine trillion, eight hundred twenty-four billion, two hundred forty-one million, one hundred forty-two thousand, eight hundred twenty".