144404334420021 has 112 divisors (see below), whose sum is σ = 234594840196080. Its totient is φ = 88319699758080.

The previous prime is 144404334420001. The next prime is 144404334420121. The reversal of 144404334420021 is 120024433404441.

144404334420021 is a `hidden beast` number, since 1 + 4 + 4 + 404 + 3 + 3 + 44 + 200 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21712934561796 + 122691399858225 = 4659714^2 + 11076615^2 .

It is not a de Polignac number, because 144404334420021 - 2¹⁰ = 144404334418997 is a prime.

It is a super-2 number, since 2×144404334420021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144404334420001) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 1035851695 + ... + 1035991091.

It is an arithmetic number, because the mean of its divisors is an integer number (2094596787465).

Almost surely, 2^{144404334420021} is an apocalyptic number.

It is an amenable number.

144404334420021 is a deficient number, since it is larger than the sum of its proper divisors (90190505776059).

144404334420021 is a wasteful number, since it uses less digits than its factorization.

144404334420021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140098 (or 140083 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144404334420021 its reverse (120024433404441), we get a palindrome (264428767824462).

The spelling of 144404334420021 in words is "one hundred forty-four trillion, four hundred four billion, three hundred thirty-four million, four hundred twenty thousand, twenty-one".