14445240511020 has 288 divisors, whose sum is σ = 46951238670336. Its totient is φ = 3290300006400.

The previous prime is 14445240511007. The next prime is 14445240511021. The reversal of 14445240511020 is 2011504254441.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14445240511021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113044965 + ... + 113172675.

It is an arithmetic number, because the mean of its divisors is an integer number (163025134272).

Almost surely, 2^{14445240511020} is an apocalyptic number.

14445240511020 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 14445240511020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475619335168).

14445240511020 is an abundant number, since it is smaller than the sum of its proper divisors (32505998159316).

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

14445240511020 is a wasteful number, since it uses less digits than its factorization.

14445240511020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128361 (or 128342 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

Adding to 14445240511020 its reverse (2011504254441), we get a palindrome (16456744765461).

The spelling of 14445240511020 in words is "fourteen trillion, four hundred forty-five billion, two hundred forty million, five hundred eleven thousand, twenty".