4042142413400 has 192 divisors, whose sum is σ = 11669112504000. Its totient is φ = 1267949813760.

The previous prime is 4042142413373. The next prime is 4042142413409. The reversal of 4042142413400 is 43142412404.

4042142413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042142413409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1073876 + ... + 3039324.

It is an arithmetic number, because the mean of its divisors is an integer number (60776627625).

Almost surely, 2^{4042142413400} is an apocalyptic number.

4042142413400 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 4042142413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834556252000).

4042142413400 is an abundant number, since it is smaller than the sum of its proper divisors (7626970090600).

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

4042142413400 is a wasteful number, since it uses less digits than its factorization.

4042142413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965598 (or 1965589 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4042142413400 its reverse (43142412404), we get a palindrome (4085284825804).

The spelling of 4042142413400 in words is "four trillion, forty-two billion, one hundred forty-two million, four hundred thirteen thousand, four hundred".