14829605440 has 224 divisors, whose sum is σ = 39408445440. Its totient is φ = 5280546816.

The previous prime is 14829605429. The next prime is 14829605447. The reversal of 14829605440 is 4450692841.

14829605440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14829605447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14272441 + ... + 14273479.

It is an arithmetic number, because the mean of its divisors is an integer number (175930560).

Almost surely, 2^14829605440 is an apocalyptic number.

14829605440 is a gapful number since it is divisible by the number (10) 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 14829605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19704222720).

14829605440 is an abundant number, since it is smaller than the sum of its proper divisors (24578840000).

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

14829605440 is a wasteful number, since it uses less digits than its factorization.

14829605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

It can be divided in two parts, 1482960 and 5440, that added together give a square (1488400 = 1220²).

The spelling of 14829605440 in words is "fourteen billion, eight hundred twenty-nine million, six hundred five thousand, four hundred forty".