14434321201440 has 192 divisors, whose sum is σ = 52003885006080. Its totient is φ = 3296712867840.

The previous prime is 14434321201403. The next prime is 14434321201477. The reversal of 14434321201440 is 4410212343441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14434321201403) and next prime (14434321201477).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2664660 + ... + 5997420.

It is an arithmetic number, because the mean of its divisors is an integer number (270853567740).

Almost surely, 2^{14434321201440} is an apocalyptic number.

14434321201440 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 14434321201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26001942503040).

14434321201440 is an abundant number, since it is smaller than the sum of its proper divisors (37569563804640).

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

14434321201440 is a wasteful number, since it uses less digits than its factorization.

14434321201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334075 (or 3334067 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 14434321201440 its reverse (4410212343441), we get a palindrome (18844533544881).

The spelling of 14434321201440 in words is "fourteen trillion, four hundred thirty-four billion, three hundred twenty-one million, two hundred one thousand, four hundred forty".