14434100340 has 384 divisors, whose sum is σ = 48833003520. Its totient is φ = 3147724800.

The previous prime is 14434100339. The next prime is 14434100383. The reversal of 14434100340 is 4300143441.

It is a self number, because there is not a number n which added to its sum of digits gives 14434100340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17411046 + ... + 17411874.

It is an arithmetic number, because the mean of its divisors is an integer number (127169280).

Almost surely, 2^14434100340 is an apocalyptic number.

14434100340 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 14434100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416501760).

14434100340 is an abundant number, since it is smaller than the sum of its proper divisors (34398903180).

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

14434100340 is a wasteful number, since it uses less digits than its factorization.

14434100340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14434100340 its reverse (4300143441), we get a palindrome (18734243781).

The spelling of 14434100340 in words is "fourteen billion, four hundred thirty-four million, one hundred thousand, three hundred forty".