144042267886440 has 1024 divisors, whose sum is σ = 557767159971840. Its totient is φ = 28898230394880.

The previous prime is 144042267886427. The next prime is 144042267886519. The reversal of 144042267886440 is 44688762240441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 255 ways as a sum of consecutive naturals, for example, 6525711244 + ... + 6525733316.

It is an arithmetic number, because the mean of its divisors is an integer number (544694492160).

Almost surely, 2^{144042267886440} is an apocalyptic number.

144042267886440 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 144042267886440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278883579985920).

144042267886440 is an abundant number, since it is smaller than the sum of its proper divisors (413724892085400).

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

144042267886440 is a wasteful number, since it uses less digits than its factorization.

144042267886440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22382 (or 22378 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 60.

The spelling of 144042267886440 in words is "one hundred forty-four trillion, forty-two billion, two hundred sixty-seven million, eight hundred eighty-six thousand, four hundred forty".