202142442320 has 320 divisors, whose sum is σ = 609614982144. Its totient is φ = 60582297600.

The previous prime is 202142442319. The next prime is 202142442353. The reversal of 202142442320 is 23244241202.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 202142442320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16905464 + ... + 16917416.

Almost surely, 2^202142442320 is an apocalyptic number.

202142442320 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 202142442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304807491072).

202142442320 is an abundant number, since it is smaller than the sum of its proper divisors (407472539824).

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

202142442320 is a wasteful number, since it uses less digits than its factorization.

202142442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 202142442320 its reverse (23244241202), we get a palindrome (225386683522).

The spelling of 202142442320 in words is "two hundred two billion, one hundred forty-two million, four hundred forty-two thousand, three hundred twenty".