201142000040416 has 24 divisors (see below), whose sum is σ = 396000105563664. Its totient is φ = 100570544659200.

The previous prime is 201142000040339. The next prime is 201142000040441. The reversal of 201142000040416 is 614040000241102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6995500 + ... + 21241963.

It is an arithmetic number, because the mean of its divisors is an integer number (16500004398486).

Almost surely, 2^{201142000040416} is an apocalyptic number.

It is an amenable number.

201142000040416 is a deficient number, since it is larger than the sum of its proper divisors (194858105523248).

201142000040416 is a wasteful number, since it uses less digits than its factorization.

201142000040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28460074 (or 28460066 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 201142000040416 its reverse (614040000241102), we get a palindrome (815182000281518).

The spelling of 201142000040416 in words is "two hundred one trillion, one hundred forty-two billion, forty thousand, four hundred sixteen".