201414171420 has 288 divisors, whose sum is σ = 762231375360. Its totient is φ = 41823751680.

The previous prime is 201414171419. The next prime is 201414171433. The reversal of 201414171420 is 24171414102.

It is a happy number.

201414171420 is a `hidden beast` number, since 20 + 14 + 141 + 71 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24791479 + ... + 24799601.

It is an arithmetic number, because the mean of its divisors is an integer number (2646636720).

Almost surely, 2^201414171420 is an apocalyptic number.

201414171420 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 201414171420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381115687680).

201414171420 is an abundant number, since it is smaller than the sum of its proper divisors (560817203940).

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

201414171420 is a wasteful number, since it uses less digits than its factorization.

201414171420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9945 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 201414171420 its reverse (24171414102), we get a palindrome (225585585522).

The spelling of 201414171420 in words is "two hundred one billion, four hundred fourteen million, one hundred seventy-one thousand, four hundred twenty".