144034022400020 has 12 divisors (see below), whose sum is σ = 302471447040084. Its totient is φ = 57613608960000.

The previous prime is 144034022400013. The next prime is 144034022400119. The reversal of 144034022400020 is 20004220430441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45990478330384 + 98043544069636 = 6781628^2 + 9901694^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3600850559981 + ... + 3600850560020.

It is an arithmetic number, because the mean of its divisors is an integer number (25205953920007).

Almost surely, 2^{144034022400020} is an apocalyptic number.

144034022400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034022400020 is an abundant number, since it is smaller than the sum of its proper divisors (158437424640064).

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

144034022400020 is a wasteful number, since it uses less digits than its factorization.

144034022400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7201701120010 (or 7201701120008 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 144034022400020 its reverse (20004220430441), we get a palindrome (164038242830461).

The spelling of 144034022400020 in words is "one hundred forty-four trillion, thirty-four billion, twenty-two million, four hundred thousand, twenty".