144047722890240 has 264 divisors, whose sum is σ = 537515580697368. Its totient is φ = 35457900871680.

The previous prime is 144047722890223. The next prime is 144047722890241. The reversal of 144047722890240 is 42098227740441.

It is a happy number.

144047722890240 is a `hidden beast` number, since 1 + 4 + 40 + 477 + 2 + 2 + 8 + 90 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1811759072256 + 142235963817984 = 1346016^2 + 11926272^2 .

It is not an unprimeable number, because it can be changed into a prime (144047722890241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119633101 + ... + 120831180.

Almost surely, 2^{144047722890240} is an apocalyptic number.

144047722890240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144047722890240 is an abundant number, since it is smaller than the sum of its proper divisors (393467857807128).

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

144047722890240 is a wasteful number, since it uses less digits than its factorization.

144047722890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240464325 (or 240464304 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 144047722890240 in words is "one hundred forty-four trillion, forty-seven billion, seven hundred twenty-two million, eight hundred ninety thousand, two hundred forty".