201414123340032 has 288 divisors, whose sum is σ = 559011214992384. Its totient is φ = 64321108992000.

The previous prime is 201414123340021. The next prime is 201414123340037. The reversal of 201414123340032 is 230043321414102.

It is a super-2 number, since 2×201414123340032² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201414123340037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587737407 + ... + 1587864257.

It is an arithmetic number, because the mean of its divisors is an integer number (1941011163168).

Almost surely, 2^{201414123340032} 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 201414123340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279505607496192).

201414123340032 is an abundant number, since it is smaller than the sum of its proper divisors (357597091652352).

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

201414123340032 is a wasteful number, since it uses less digits than its factorization.

201414123340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127765 (or 127751 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 201414123340032 its reverse (230043321414102), we get a palindrome (431457444754134).

The spelling of 201414123340032 in words is "two hundred one trillion, four hundred fourteen billion, one hundred twenty-three million, three hundred forty thousand, thirty-two".