144042312960 has 1296 divisors, whose sum is σ = 648347446656. Its totient is φ = 30349541376.

The previous prime is 144042312949. The next prime is 144042313001. The reversal of 144042312960 is 69213240441.

144042312960 is a `hidden beast` number, since 14 + 40 + 423 + 129 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198132117 + ... + 198132843.

Almost surely, 2^144042312960 is an apocalyptic number.

144042312960 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 144042312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324173723328).

144042312960 is an abundant number, since it is smaller than the sum of its proper divisors (504305133696).

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

144042312960 is an equidigital number, since it uses as much as digits as its factorization.

144042312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 144042312960 in words is "one hundred forty-four billion, forty-two million, three hundred twelve thousand, nine hundred sixty".