201042413312 has 108 divisors (see below), whose sum is σ = 456114287160. Its totient is φ = 87904659456.

The previous prime is 201042413311. The next prime is 201042413437. The reversal of 201042413312 is 213314240102.

201042413312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201042413311) 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 11 ways as a sum of consecutive naturals, for example, 1117739 + ... + 1285077.

Almost surely, 2^201042413312 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 201042413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228057143580).

201042413312 is an abundant number, since it is smaller than the sum of its proper divisors (255071873848).

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

201042413312 is a wasteful number, since it uses less digits than its factorization.

201042413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167406 (or 167373 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 201042413312 its reverse (213314240102), we get a palindrome (414356653414).

The spelling of 201042413312 in words is "two hundred one billion, forty-two million, four hundred thirteen thousand, three hundred twelve".