14430414440 has 192 divisors, whose sum is σ = 36754663680. Its totient is φ = 5067532800.

The previous prime is 14430414403. The next prime is 14430414461. The reversal of 14430414440 is 4441403441.

14430414440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33481025 + ... + 33481455.

It is an arithmetic number, because the mean of its divisors is an integer number (191430540).

Almost surely, 2^14430414440 is an apocalyptic number.

14430414440 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 14430414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18377331840).

14430414440 is an abundant number, since it is smaller than the sum of its proper divisors (22324249240).

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

14430414440 is a wasteful number, since it uses less digits than its factorization.

14430414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 14430414440 its reverse (4441403441), we get a palindrome (18871817881).

The spelling of 14430414440 in words is "fourteen billion, four hundred thirty million, four hundred fourteen thousand, four hundred forty".