14220213403440 has 160 divisors (see below), whose sum is σ = 48905264505600. Its totient is φ = 3388895196160.

The previous prime is 14220213403387. The next prime is 14220213403441. The reversal of 14220213403440 is 4430431202241.

It is a super-3 number, since 3×14220213403440³ (a number of 40 digits) contains 333 as substring.

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 = 14220213403398 and 14220213403407.

It is not an unprimeable number, because it can be changed into a prime (14220213403441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45492075 + ... + 45803594.

It is an arithmetic number, because the mean of its divisors is an integer number (305657903160).

Almost surely, 2^{14220213403440} is an apocalyptic number.

14220213403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14220213403440 is an abundant number, since it is smaller than the sum of its proper divisors (34685051102160).

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

14220213403440 is a wasteful number, since it uses less digits than its factorization.

14220213403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91295755 (or 91295749 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14220213403440 its reverse (4430431202241), we get a palindrome (18650644605681).

The spelling of 14220213403440 in words is "fourteen trillion, two hundred twenty billion, two hundred thirteen million, four hundred three thousand, four hundred forty".