4144200300240 has 1280 divisors, whose sum is σ = 18008111407104. Its totient is φ = 760629657600.

The previous prime is 4144200300193. The next prime is 4144200300311. The reversal of 4144200300240 is 420030024414.

It is a happy number.

4144200300240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4144200300240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4144200300240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 542217859 + ... + 542225501.

Almost surely, 2^{4144200300240} is an apocalyptic number.

4144200300240 is a gapful number since it is divisible by the number (40) 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 4144200300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004055703552).

4144200300240 is an abundant number, since it is smaller than the sum of its proper divisors (13863911106864).

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

4144200300240 is a wasteful number, since it uses less digits than its factorization.

4144200300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7788 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4144200300240 its reverse (420030024414), we get a palindrome (4564230324654).

The spelling of 4144200300240 in words is "four trillion, one hundred forty-four billion, two hundred million, three hundred thousand, two hundred forty".