201414322144 has 96 divisors (see below), whose sum is σ = 456757056000. Its totient is φ = 85641380352.

The previous prime is 201414322141. The next prime is 201414322229. The reversal of 201414322144 is 441223414102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201414322141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22377357 + ... + 22386355.

It is an arithmetic number, because the mean of its divisors is an integer number (4757886000).

Almost surely, 2^201414322144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201414322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228378528000).

201414322144 is an abundant number, since it is smaller than the sum of its proper divisors (255342733856).

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

201414322144 is a wasteful number, since it uses less digits than its factorization.

201414322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 201414322144 its reverse (441223414102), we get a palindrome (642637736246).

The spelling of 201414322144 in words is "two hundred one billion, four hundred fourteen million, three hundred twenty-two thousand, one hundred forty-four".