4144123110240 has 768 divisors, whose sum is σ = 15054062284800. Its totient is φ = 1064173953024.

The previous prime is 4144123110223. The next prime is 4144123110269. The reversal of 4144123110240 is 420113214414.

4144123110240 is a `hidden beast` number, since 4 + 1 + 4 + 412 + 3 + 1 + 1 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3563303899 + ... + 3563305061.

It is an arithmetic number, because the mean of its divisors is an integer number (19601643600).

Almost surely, 2^{4144123110240} is an apocalyptic number.

4144123110240 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 4144123110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527031142400).

4144123110240 is an abundant number, since it is smaller than the sum of its proper divisors (10909939174560).

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

4144123110240 is a wasteful number, since it uses less digits than its factorization.

4144123110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4144123110240 its reverse (420113214414), we get a palindrome (4564236324654).

The spelling of 4144123110240 in words is "four trillion, one hundred forty-four billion, one hundred twenty-three million, one hundred ten thousand, two hundred forty".