10042210420224 has 40 divisors (see below), whose sum is σ = 26753076201720. Its totient is φ = 3347403472896.

The previous prime is 10042210420223. The next prime is 10042210420273. The reversal of 10042210420224 is 42202401224001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10042210420194 and 10042210420203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042210420223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3268947169 + ... + 3268950240.

It is an arithmetic number, because the mean of its divisors is an integer number (668826905043).

Almost surely, 2^{10042210420224} is an apocalyptic number.

It is an amenable number.

10042210420224 is an abundant number, since it is smaller than the sum of its proper divisors (16710865781496).

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

10042210420224 is an frugal number, since it uses more digits than its factorization.

10042210420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537897430 (or 6537897414 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10042210420224 its reverse (42202401224001), we get a palindrome (52244611644225).

The spelling of 10042210420224 in words is "ten trillion, forty-two billion, two hundred ten million, four hundred twenty thousand, two hundred twenty-four".