14545021440 has 320 divisors, whose sum is σ = 48396902400. Its totient is φ = 3722526720.

The previous prime is 14545021399. The next prime is 14545021481. The reversal of 14545021440 is 4412054541.

It is an interprime number because it is at equal distance from previous prime (14545021399) and next prime (14545021481).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14545021398 and 14545021407.

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, 47377767 + ... + 47378073.

It is an arithmetic number, because the mean of its divisors is an integer number (151240320).

Almost surely, 2^14545021440 is an apocalyptic number.

14545021440 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 14545021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24198451200).

14545021440 is an abundant number, since it is smaller than the sum of its proper divisors (33851880960).

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

14545021440 is a wasteful number, since it uses less digits than its factorization.

14545021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 14545021440 its reverse (4412054541), we get a palindrome (18957075981).

The spelling of 14545021440 in words is "fourteen billion, five hundred forty-five million, twenty-one thousand, four hundred forty".