4042211131140 has 768 divisors, whose sum is σ = 14348894945280. Its totient is φ = 832641638400.

The previous prime is 4042211131129. The next prime is 4042211131169. The reversal of 4042211131140 is 411311122404.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4042211131140.

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 255 ways as a sum of consecutive naturals, for example, 9335360364 + ... + 9335360796.

It is an arithmetic number, because the mean of its divisors is an integer number (18683456960).

Almost surely, 2^{4042211131140} 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 4042211131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174447472640).

4042211131140 is an abundant number, since it is smaller than the sum of its proper divisors (10306683814140).

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

4042211131140 is a wasteful number, since it uses less digits than its factorization.

4042211131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4042211131140 its reverse (411311122404), we get a palindrome (4453522253544).

The spelling of 4042211131140 in words is "four trillion, forty-two billion, two hundred eleven million, one hundred thirty-one thousand, one hundred forty".