14004305440000 has 180 divisors, whose sum is σ = 35006832177856. Its totient is φ = 5589593856000.

The previous prime is 14004305439959. The next prime is 14004305440001. The reversal of 14004305440000 is 4450340041.

It is a super-2 number, since 2×14004305440000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004305440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73985479 + ... + 74174521.

Almost surely, 2^{14004305440000} is an apocalyptic number.

14004305440000 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 14004305440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503416088928).

14004305440000 is an abundant number, since it is smaller than the sum of its proper divisors (21002526737856).

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

14004305440000 is an frugal number, since it uses more digits than its factorization.

14004305440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189542 (or 189513 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14004305440000 its reverse (4450340041), we get a palindrome (14008755780041).

The spelling of 14004305440000 in words is "fourteen trillion, four billion, three hundred five million, four hundred forty thousand".