144114201244440 has 384 divisors, whose sum is σ = 535775026849920. Its totient is φ = 32910022656000.

The previous prime is 144114201244439. The next prime is 144114201244451. The reversal of 144114201244440 is 44442102411441.

144114201244440 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 4 + 201 + 2 + 4 + 4 + 440 = 666.

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 = 144114201244395 and 144114201244404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17789676390 + ... + 17789684490.

It is an arithmetic number, because the mean of its divisors is an integer number (1395247465755).

Almost surely, 2^{144114201244440} is an apocalyptic number.

144114201244440 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 144114201244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267887513424960).

144114201244440 is an abundant number, since it is smaller than the sum of its proper divisors (391660825605480).

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

144114201244440 is a wasteful number, since it uses less digits than its factorization.

144114201244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13763 (or 13756 counting only the distinct ones).

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

Adding to 144114201244440 its reverse (44442102411441), we get a palindrome (188556303655881).

The spelling of 144114201244440 in words is "one hundred forty-four trillion, one hundred fourteen billion, two hundred one million, two hundred forty-four thousand, four hundred forty".