331200144424001 has 8 divisors (see below), whose sum is σ = 331783179709320. Its totient is φ = 330617112512512.

The previous prime is 331200144423881. The next prime is 331200144424007. The reversal of 331200144424001 is 100424441002133.

It can be written as a sum of positive squares in 4 ways, for example, as 62487760206400 + 268712384217601 = 7904920^2 + 16392449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331200144424001 - 2²² = 331200140229697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331200144424007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274904741 + ... + 276106893.

It is an arithmetic number, because the mean of its divisors is an integer number (41472897463665).

Almost surely, 2^{331200144424001} is an apocalyptic number.

It is an amenable number.

331200144424001 is a deficient number, since it is larger than the sum of its proper divisors (583035285319).

331200144424001 is a wasteful number, since it uses less digits than its factorization.

331200144424001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686915.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 331200144424001 its reverse (100424441002133), we get a palindrome (431624585426134).

The spelling of 331200144424001 in words is "three hundred thirty-one trillion, two hundred billion, one hundred forty-four million, four hundred twenty-four thousand, one".