29324344140 has 480 divisors, whose sum is σ = 119890641024. Its totient is φ = 5822668800.

The previous prime is 29324344139. The next prime is 29324344169. The reversal of 29324344140 is 4144342392.

29324344140 is a `hidden beast` number, since 293 + 24 + 344 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29324344095 and 29324344104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2500290 + ... + 2511990.

Almost surely, 2^29324344140 is an apocalyptic number.

29324344140 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 29324344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59945320512).

29324344140 is an abundant number, since it is smaller than the sum of its proper divisors (90566296884).

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

29324344140 is a wasteful number, since it uses less digits than its factorization.

29324344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11759 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 29324344140 in words is "twenty-nine billion, three hundred twenty-four million, three hundred forty-four thousand, one hundred forty".