14001193945440 has 1728 divisors, whose sum is σ = 55434931808256. Its totient is φ = 3319808053248.

The previous prime is 14001193945439. The next prime is 14001193945441. The reversal of 14001193945440 is 4454939110041.

It is a happy number.

14001193945440 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 19 + 3 + 94 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14001193945439) and next prime (14001193945441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14001193945441) 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 287 ways as a sum of consecutive naturals, for example, 53236478749 + ... + 53236479011.

It is an arithmetic number, because the mean of its divisors is an integer number (32080400352).

Almost surely, 2^{14001193945440} is an apocalyptic number.

14001193945440 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 14001193945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27717465904128).

14001193945440 is an abundant number, since it is smaller than the sum of its proper divisors (41433737862816).

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

14001193945440 is an equidigital number, since it uses as much as digits as its factorization.

14001193945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14001193945440 in words is "fourteen trillion, one billion, one hundred ninety-three million, nine hundred forty-five thousand, four hundred forty".