4204254144321 has 192 divisors, whose sum is σ = 8199902730240. Its totient is φ = 2008978053120.

The previous prime is 4204254144257. The next prime is 4204254144323. The reversal of 4204254144321 is 1234414524024.

4204254144321 is a `hidden beast` number, since 4 + 2 + 0 + 42 + 541 + 44 + 32 + 1 = 666.

It is not a de Polignac number, because 4204254144321 - 2⁶ = 4204254144257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4204254144323) 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 191 ways as a sum of consecutive naturals, for example, 120231186 + ... + 120266148.

It is an arithmetic number, because the mean of its divisors is an integer number (42707826720).

Almost surely, 2^{4204254144321} is an apocalyptic number.

It is an amenable number.

4204254144321 is a deficient number, since it is larger than the sum of its proper divisors (3995648585919).

4204254144321 is a wasteful number, since it uses less digits than its factorization.

4204254144321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35236 (or 35233 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4204254144321 its reverse (1234414524024), we get a palindrome (5438668668345).

The spelling of 4204254144321 in words is "four trillion, two hundred four billion, two hundred fifty-four million, one hundred forty-four thousand, three hundred twenty-one".