14343769440 has 1536 divisors, whose sum is σ = 70230343680. Its totient is φ = 2637619200.

The previous prime is 14343769423. The next prime is 14343769459. The reversal of 14343769440 is 4496734341.

14343769440 is a `hidden beast` number, since 143 + 4 + 3 + 7 + 69 + 440 = 666.

14343769440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 134053867 + ... + 134053973.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^14343769440 is an apocalyptic number.

14343769440 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 14343769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35115171840).

14343769440 is an abundant number, since it is smaller than the sum of its proper divisors (55886574240).

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

14343769440 is a wasteful number, since it uses less digits than its factorization.

14343769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 14343769440 in words is "fourteen billion, three hundred forty-three million, seven hundred sixty-nine thousand, four hundred forty".