4042041010000 has 200 divisors, whose sum is σ = 11187953458880. Its totient is φ = 1385379072000.

The previous prime is 4042041009989. The next prime is 4042041010019. The reversal of 4042041010000 is 101402404.

4042041010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258782191 + ... + 258797809.

Almost surely, 2^{4042041010000} is an apocalyptic number.

4042041010000 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 4042041010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593976729440).

4042041010000 is an abundant number, since it is smaller than the sum of its proper divisors (7145912448880).

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

4042041010000 is a wasteful number, since it uses less digits than its factorization.

4042041010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19351 (or 19330 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4042041010000 its reverse (101402404), we get a palindrome (4042142412404).

The spelling of 4042041010000 in words is "four trillion, forty-two billion, forty-one million, ten thousand".