202204421020320 has 768 divisors, whose sum is σ = 684091215360000. Its totient is φ = 50092071321600.

The previous prime is 202204421020297. The next prime is 202204421020373. The reversal of 202204421020320 is 23020124402202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130538682906 + ... + 130538684454.

It is an arithmetic number, because the mean of its divisors is an integer number (890743770000).

Almost surely, 2^{202204421020320} is an apocalyptic number.

202204421020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202204421020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342045607680000).

202204421020320 is an abundant number, since it is smaller than the sum of its proper divisors (481886794339680).

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

202204421020320 is a wasteful number, since it uses less digits than its factorization.

202204421020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 202204421020320 its reverse (23020124402202), we get a palindrome (225224545422522).

The spelling of 202204421020320 in words is "two hundred two trillion, two hundred four billion, four hundred twenty-one million, twenty thousand, three hundred twenty".