202410221442 has 96 divisors (see below), whose sum is σ = 493633253376. Its totient is φ = 54791755200.

The previous prime is 202410221437. The next prime is 202410221449. The reversal of 202410221442 is 244122014202.

It is a happy number.

202410221442 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202410221449) 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 47 ways as a sum of consecutive naturals, for example, 53083 + ... + 638465.

It is an arithmetic number, because the mean of its divisors is an integer number (5142013056).

Almost surely, 2^202410221442 is an apocalyptic number.

202410221442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202410221442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246816626688).

202410221442 is an abundant number, since it is smaller than the sum of its proper divisors (291223031934).

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

202410221442 is a wasteful number, since it uses less digits than its factorization.

202410221442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585456 (or 585443 counting only the distinct ones).

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

Adding to 202410221442 its reverse (244122014202), we get a palindrome (446532235644).

The spelling of 202410221442 in words is "two hundred two billion, four hundred ten million, two hundred twenty-one thousand, four hundred forty-two".