14544350230040 has 256 divisors, whose sum is σ = 34895702016000. Its totient is φ = 5444261222400.

The previous prime is 14544350230001. The next prime is 14544350230043. The reversal of 14544350230040 is 4003205344541.

14544350230040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14544350230040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14544350230043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5083658210 + ... + 5083661070.

It is an arithmetic number, because the mean of its divisors is an integer number (136311336000).

Almost surely, 2^{14544350230040} is an apocalyptic number.

14544350230040 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 14544350230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447851008000).

14544350230040 is an abundant number, since it is smaller than the sum of its proper divisors (20351351785960).

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

14544350230040 is a wasteful number, since it uses less digits than its factorization.

14544350230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 14544350230040 its reverse (4003205344541), we get a palindrome (18547555574581).

The spelling of 14544350230040 in words is "fourteen trillion, five hundred forty-four billion, three hundred fifty million, two hundred thirty thousand, forty".