201142040412 has 96 divisors (see below), whose sum is σ = 491278233600. Its totient is φ = 63971292672.

The previous prime is 201142040389. The next prime is 201142040471. The reversal of 201142040412 is 214040241102.

It is a super-2 number, since 2×201142040412² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10622289 + ... + 10641207.

It is an arithmetic number, because the mean of its divisors is an integer number (5117481600).

Almost surely, 2^201142040412 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 201142040412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245639116800).

201142040412 is an abundant number, since it is smaller than the sum of its proper divisors (290136193188).

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

201142040412 is a wasteful number, since it uses less digits than its factorization.

201142040412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19315 (or 19313 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 201142040412 its reverse (214040241102), we get a palindrome (415182281514).

The spelling of 201142040412 in words is "two hundred one billion, one hundred forty-two million, forty thousand, four hundred twelve".