144113884460040 has 384 divisors, whose sum is σ = 493437967948800. Its totient is φ = 33390965583360.

The previous prime is 144113884459931. The next prime is 144113884460041. The reversal of 144113884460040 is 40064488311441.

It is not an unprimeable number, because it can be changed into a prime (144113884460041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 879052557 + ... + 879216483.

It is an arithmetic number, because the mean of its divisors is an integer number (1284994708200).

Almost surely, 2^{144113884460040} is an apocalyptic number.

144113884460040 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 144113884460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246718983974400).

144113884460040 is an abundant number, since it is smaller than the sum of its proper divisors (349324083488760).

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

144113884460040 is a wasteful number, since it uses less digits than its factorization.

144113884460040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165257 (or 165230 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 144113884460040 in words is "one hundred forty-four trillion, one hundred thirteen billion, eight hundred eighty-four million, four hundred sixty thousand, forty".