144242214103440 has 120 divisors (see below), whose sum is σ = 484415730821880. Its totient is φ = 38464408184832.

The previous prime is 144242214103423. The next prime is 144242214103517. The reversal of 144242214103440 is 44301412242441.

144242214103440 is a `hidden beast` number, since 1 + 4 + 424 + 2 + 214 + 10 + 3 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28586901475584 + 115655312627856 = 5346672^2 + 10754316^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144242214103395 and 144242214103404.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 227774766 + ... + 228407154.

It is an arithmetic number, because the mean of its divisors is an integer number (4036797756849).

Almost surely, 2^{144242214103440} is an apocalyptic number.

144242214103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144242214103440 is an abundant number, since it is smaller than the sum of its proper divisors (340173516718440).

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

144242214103440 is a wasteful number, since it uses less digits than its factorization.

144242214103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949201 (or 949192 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144242214103440 its reverse (44301412242441), we get a palindrome (188543626345881).

The spelling of 144242214103440 in words is "one hundred forty-four trillion, two hundred forty-two billion, two hundred fourteen million, one hundred three thousand, four hundred forty".