202214343120400 has 240 divisors, whose sum is σ = 532558617070480. Its totient is φ = 73335368908800.

The previous prime is 202214343120343. The next prime is 202214343120421. The reversal of 202214343120400 is 4021343412202.

It can be written as a sum of positive squares in 24 ways, for example, as 118407129302016 + 83807213818384 = 10881504^2 + 9154628^2 .

It is a super-2 number, since 2×202214343120400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90378406 + ... + 92588794.

Almost surely, 2^{202214343120400} is an apocalyptic number.

202214343120400 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 202214343120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266279308535240).

202214343120400 is an abundant number, since it is smaller than the sum of its proper divisors (330344273950080).

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

202214343120400 is a wasteful number, since it uses less digits than its factorization.

202214343120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210734 (or 2210723 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 202214343120400 its reverse (4021343412202), we get a palindrome (206235686532602).

The spelling of 202214343120400 in words is "two hundred two trillion, two hundred fourteen billion, three hundred forty-three million, one hundred twenty thousand, four hundred".