4201234321024 has 64 divisors (see below), whose sum is σ = 9013943279880. Its totient is φ = 1938928435200.

The previous prime is 4201234320989. The next prime is 4201234321027.

4201234321024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2795985294400 + 1405249026624 = 1672120^2 + 1185432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4201234320983 and 4201234321001.

It is not an unprimeable number, because it can be changed into a prime (4201234321027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37752184 + ... + 37863304.

Almost surely, 2^{4201234321024} is an apocalyptic number.

It is an amenable number.

4201234321024 is an abundant number, since it is smaller than the sum of its proper divisors (4812708958856).

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

4201234321024 is a wasteful number, since it uses less digits than its factorization.

4201234321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133869 (or 133857 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 4201234321024 in words is "four trillion, two hundred one billion, two hundred thirty-four million, three hundred twenty-one thousand, twenty-four".