201414430140 has 192 divisors, whose sum is σ = 703618126848. Its totient is φ = 41822668800.

The previous prime is 201414430121. The next prime is 201414430187. The reversal of 201414430140 is 41034414102.

It is a self number, because there is not a number n which added to its sum of digits gives 201414430140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6827502 + ... + 6856938.

It is an arithmetic number, because the mean of its divisors is an integer number (3664677744).

Almost surely, 2^201414430140 is an apocalyptic number.

201414430140 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 201414430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351809063424).

201414430140 is an abundant number, since it is smaller than the sum of its proper divisors (502203696708).

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

201414430140 is a wasteful number, since it uses less digits than its factorization.

201414430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30948 (or 30946 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201414430140 its reverse (41034414102), we get a palindrome (242448844242).

The spelling of 201414430140 in words is "two hundred one billion, four hundred fourteen million, four hundred thirty thousand, one hundred forty".