201414334033000 has 192 divisors, whose sum is σ = 518246786912400. Its totient is φ = 73213893632000.

The previous prime is 201414334032931. The next prime is 201414334033001. The reversal of 201414334033000 is 330433414102.

201414334033000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2878512637924 + 198535821395076 = 1696618^2 + 14090274^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201414334033000.

It is not an unprimeable number, because it can be changed into a prime (201414334033001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321183756 + ... + 321810244.

Almost surely, 2^{201414334033000} is an apocalyptic number.

201414334033000 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 201414334033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259123393456200).

201414334033000 is an abundant number, since it is smaller than the sum of its proper divisors (316832452879400).

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

201414334033000 is a wasteful number, since it uses less digits than its factorization.

201414334033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629189 (or 629164 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 201414334033000 its reverse (330433414102), we get a palindrome (201744767447102).

The spelling of 201414334033000 in words is "two hundred one trillion, four hundred fourteen billion, three hundred thirty-four million, thirty-three thousand".