4042413330000 has 400 divisors, whose sum is σ = 13483362342912. Its totient is φ = 1042200000000.

The previous prime is 4042413329989. The next prime is 4042413330041. The reversal of 4042413330000 is 333142404.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×4042413330000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1795828875 + ... + 1795831125.

Almost surely, 2^{4042413330000} is an apocalyptic number.

4042413330000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042413330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741681171456).

4042413330000 is an abundant number, since it is smaller than the sum of its proper divisors (9440949012912).

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

4042413330000 is a wasteful number, since it uses less digits than its factorization.

4042413330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4042413330000 its reverse (333142404), we get a palindrome (4042746472404).

The spelling of 4042413330000 in words is "four trillion, forty-two billion, four hundred thirteen million, three hundred thirty thousand".