424142133333210 has 256 divisors, whose sum is σ = 1141497645120000. Its totient is φ = 112063743627264.

The previous prime is 424142133333187. The next prime is 424142133333211. The reversal of 424142133333210 is 12333331241424.

424142133333210 is a `hidden beast` number, since 4 + 2 + 41 + 42 + 1 + 33 + 333 + 210 = 666.

It is not an unprimeable number, because it can be changed into a prime (424142133333211) 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 127 ways as a sum of consecutive naturals, for example, 51667937586 + ... + 51667945794.

It is an arithmetic number, because the mean of its divisors is an integer number (4458975176250).

Almost surely, 2^{424142133333210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424142133333210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570748822560000).

424142133333210 is an abundant number, since it is smaller than the sum of its proper divisors (717355511786790).

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

424142133333210 is a wasteful number, since it uses less digits than its factorization.

424142133333210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11710 (or 11704 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 424142133333210 its reverse (12333331241424), we get a palindrome (436475464574634).

The spelling of 424142133333210 in words is "four hundred twenty-four trillion, one hundred forty-two billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred ten".