201142044331032 has 128 divisors (see below), whose sum is σ = 579982782297600. Its totient is φ = 56940067058688.

The previous prime is 201142044331027. The next prime is 201142044331051. The reversal of 201142044331032 is 230133440241102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623490523 + ... + 623813045.

It is an arithmetic number, because the mean of its divisors is an integer number (4531115486700).

Almost surely, 2^{201142044331032} 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 201142044331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289991391148800).

201142044331032 is an abundant number, since it is smaller than the sum of its proper divisors (378840737966568).

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

201142044331032 is a wasteful number, since it uses less digits than its factorization.

201142044331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356705 (or 356701 counting only the distinct ones).

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

Adding to 201142044331032 its reverse (230133440241102), we get a palindrome (431275484572134).

The spelling of 201142044331032 in words is "two hundred one trillion, one hundred forty-two billion, forty-four million, three hundred thirty-one thousand, thirty-two".