4042413040314 has 96 divisors (see below), whose sum is σ = 9044356261248. Its totient is φ = 1203356246400.

The previous prime is 4042413040301. The next prime is 4042413040333. The reversal of 4042413040314 is 4130403142404.

It is a super-3 number, since 3×4042413040314³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14136684 + ... + 14419800.

It is an arithmetic number, because the mean of its divisors is an integer number (94212044388).

Almost surely, 2^{4042413040314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042413040314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522178130624).

4042413040314 is an abundant number, since it is smaller than the sum of its proper divisors (5001943220934).

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

4042413040314 is a wasteful number, since it uses less digits than its factorization.

4042413040314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283492 (or 283481 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4042413040314 its reverse (4130403142404), we get a palindrome (8172816182718).

The spelling of 4042413040314 in words is "four trillion, forty-two billion, four hundred thirteen million, forty thousand, three hundred fourteen".