144305340240 has 80 divisors (see below), whose sum is σ = 451958447808. Its totient is φ = 38084702208.

The previous prime is 144305340211. The next prime is 144305340269. The reversal of 144305340240 is 42043503441.

It is an interprime number because it is at equal distance from previous prime (144305340211) and next prime (144305340269).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 144305340198 and 144305340207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3076062 + ... + 3122621.

Almost surely, 2^144305340240 is an apocalyptic number.

144305340240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144305340240 is an abundant number, since it is smaller than the sum of its proper divisors (307653107568).

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

144305340240 is a wasteful number, since it uses less digits than its factorization.

144305340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198796 (or 6198790 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 144305340240 its reverse (42043503441), we get a palindrome (186348843681).

The spelling of 144305340240 in words is "one hundred forty-four billion, three hundred five million, three hundred forty thousand, two hundred forty".