144240112004400 has 180 divisors, whose sum is σ = 500563479386880. Its totient is φ = 38463244224000.

The previous prime is 144240112004323. The next prime is 144240112004533. The reversal of 144240112004400 is 4400211042441.

It is a happy number.

144240112004400 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 4 + 0 + 11 + 200 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×144240112004400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187900561 + ... + 188666639.

It is an arithmetic number, because the mean of its divisors is an integer number (2780908218816).

Almost surely, 2^{144240112004400} is an apocalyptic number.

144240112004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144240112004400 is an abundant number, since it is smaller than the sum of its proper divisors (356323367382480).

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

144240112004400 is a wasteful number, since it uses less digits than its factorization.

144240112004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818404 (or 818390 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 144240112004400 its reverse (4400211042441), we get a palindrome (148640323046841).

The spelling of 144240112004400 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred twelve million, four thousand, four hundred".