201142000040415 has 24 divisors (see below), whose sum is σ = 374370416403120. Its totient is φ = 91950628589568.

The previous prime is 201142000040339. The next prime is 201142000040441. The reversal of 201142000040415 is 514040000241102.

It is not a de Polignac number, because 201142000040415 - 2⁸ = 201142000040159 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136831291810 + ... + 136831293279.

It is an arithmetic number, because the mean of its divisors is an integer number (15598767350130).

Almost surely, 2^{201142000040415} is an apocalyptic number.

201142000040415 is a deficient number, since it is larger than the sum of its proper divisors (173228416362705).

201142000040415 is a wasteful number, since it uses less digits than its factorization.

201142000040415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273662585111 (or 273662585104 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 201142000040415 its reverse (514040000241102), we get a palindrome (715182000281517).

The spelling of 201142000040415 in words is "two hundred one trillion, one hundred forty-two billion, forty thousand, four hundred fifteen".