202201140414 has 128 divisors (see below), whose sum is σ = 513596160000. Its totient is φ = 52727963904.

The previous prime is 202201140391. The next prime is 202201140439. The reversal of 202201140414 is 414041102202.

202201140414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2338647 + ... + 2423565.

It is an arithmetic number, because the mean of its divisors is an integer number (4012470000).

Almost surely, 2^202201140414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202201140414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256798080000).

202201140414 is an abundant number, since it is smaller than the sum of its proper divisors (311395019586).

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

202201140414 is a wasteful number, since it uses less digits than its factorization.

202201140414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85047 (or 85033 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 202201140414 its reverse (414041102202), we get a palindrome (616242242616).

The spelling of 202201140414 in words is "two hundred two billion, two hundred one million, one hundred forty thousand, four hundred fourteen".