29909242944 has 336 divisors, whose sum is σ = 104415262848. Its totient is φ = 7990493184.

The previous prime is 29909242933. The next prime is 29909242949. The reversal of 29909242944 is 44924290992.

29909242944 is a `hidden beast` number, since 2 + 9 + 90 + 92 + 429 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (29909242949) 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, 11171334 + ... + 11174010.

Almost surely, 2^29909242944 is an apocalyptic number.

29909242944 is a gapful number since it is divisible by the number (24) 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 29909242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52207631424).

29909242944 is an abundant number, since it is smaller than the sum of its proper divisors (74506019904).

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

29909242944 is a wasteful number, since it uses less digits than its factorization.

29909242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 29909242944 in words is "twenty-nine billion, nine hundred nine million, two hundred forty-two thousand, nine hundred forty-four".