10144213040142 has 96 divisors (see below), whose sum is σ = 23602382069760. Its totient is φ = 3137330085120.

The previous prime is 10144213040113. The next prime is 10144213040149. The reversal of 10144213040142 is 24104031244101.

10144213040142 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 4 + 213 + 0 + 401 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144213040149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 257715859 + ... + 257755217.

It is an arithmetic number, because the mean of its divisors is an integer number (245858146560).

Almost surely, 2^{10144213040142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144213040142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11801191034880).

10144213040142 is an abundant number, since it is smaller than the sum of its proper divisors (13458169029618).

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

10144213040142 is a wasteful number, since it uses less digits than its factorization.

10144213040142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51318 (or 51315 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10144213040142 its reverse (24104031244101), we get a palindrome (34248244284243).

The spelling of 10144213040142 in words is "ten trillion, one hundred forty-four billion, two hundred thirteen million, forty thousand, one hundred forty-two".