202142214400 has 108 divisors (see below), whose sum is σ = 571809915712. Its totient is φ = 69305886720.

The previous prime is 202142214397. The next prime is 202142214401. The reversal of 202142214400 is 4412241202.

It is a super-2 number, since 2×202142214400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202142214401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2211252 + ... + 2300851.

Almost surely, 2^202142214400 is an apocalyptic number.

202142214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202142214400 is an abundant number, since it is smaller than the sum of its proper divisors (369667701312).

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

202142214400 is an equidigital number, since it uses as much as digits as its factorization.

202142214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512136 (or 4512117 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 202142214400 its reverse (4412241202), we get a palindrome (206554455602).

The spelling of 202142214400 in words is "two hundred two billion, one hundred forty-two million, two hundred fourteen thousand, four hundred".