29440448408 has 64 divisors (see below), whose sum is σ = 66310479360. Its totient is φ = 11980590336.

The previous prime is 29440448383. The next prime is 29440448419. The reversal of 29440448408 is 80484404492.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93035 + ... + 259877.

It is an arithmetic number, because the mean of its divisors is an integer number (1036101240).

Almost surely, 2^29440448408 is an apocalyptic number.

29440448408 is a gapful number since it is divisible by the number (28) 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 29440448408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33155239680).

29440448408 is an abundant number, since it is smaller than the sum of its proper divisors (36870030952).

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

29440448408 is a wasteful number, since it uses less digits than its factorization.

29440448408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167016 (or 167012 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 47.

The spelling of 29440448408 in words is "twenty-nine billion, four hundred forty million, four hundred forty-eight thousand, four hundred eight".