144413014013220 has 96 divisors (see below), whose sum is σ = 409251378130560. Its totient is φ = 38044696560640.

The previous prime is 144413014013207. The next prime is 144413014013227. The reversal of 144413014013220 is 22310410314441.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (144413014013227) 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 31 ways as a sum of consecutive naturals, for example, 5416251 + ... + 17837090.

It is an arithmetic number, because the mean of its divisors is an integer number (4263035188860).

Almost surely, 2^{144413014013220} is an apocalyptic number.

144413014013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144413014013220 is an abundant number, since it is smaller than the sum of its proper divisors (264838364117340).

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

144413014013220 is a wasteful number, since it uses less digits than its factorization.

144413014013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23254605 (or 23254603 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144413014013220 its reverse (22310410314441), we get a palindrome (166723424327661).

The spelling of 144413014013220 in words is "one hundred forty-four trillion, four hundred thirteen billion, fourteen million, thirteen thousand, two hundred twenty".