144114441420240 has 960 divisors, whose sum is σ = 515090375534592. Its totient is φ = 36051576422400.

The previous prime is 144114441420217. The next prime is 144114441420263. The reversal of 144114441420240 is 42024144411441.

144114441420240 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 4 + 441 + 4 + 202 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144114441420217) and next prime (144114441420263).

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 = 144114441420195 and 144114441420204.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 109094958780 + ... + 109094960100.

Almost surely, 2^{144114441420240} is an apocalyptic number.

144114441420240 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 144114441420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257545187767296).

144114441420240 is an abundant number, since it is smaller than the sum of its proper divisors (370975934114352).

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

144114441420240 is a wasteful number, since it uses less digits than its factorization.

144114441420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 144114441420240 its reverse (42024144411441), we get a palindrome (186138585831681).

The spelling of 144114441420240 in words is "one hundred forty-four trillion, one hundred fourteen billion, four hundred forty-one million, four hundred twenty thousand, two hundred forty".