4042340133400 has 96 divisors (see below), whose sum is σ = 9442576886400. Its totient is φ = 1609345843200.

The previous prime is 4042340133371. The next prime is 4042340133401. The reversal of 4042340133400 is 43310432404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042340133401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 389843416 + ... + 389853784.

It is an arithmetic number, because the mean of its divisors is an integer number (98360175900).

Almost surely, 2^{4042340133400} is an apocalyptic number.

4042340133400 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 4042340133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721288443200).

4042340133400 is an abundant number, since it is smaller than the sum of its proper divisors (5400236753000).

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

4042340133400 is a wasteful number, since it uses less digits than its factorization.

4042340133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19349 (or 19340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4042340133400 its reverse (43310432404), we get a palindrome (4085650565804).

The spelling of 4042340133400 in words is "four trillion, forty-two billion, three hundred forty million, one hundred thirty-three thousand, four hundred".