4042340124200 has 192 divisors, whose sum is σ = 10831203187200. Its totient is φ = 1374331795200.

The previous prime is 4042340124181. The next prime is 4042340124211. The reversal of 4042340124200 is 24210432404.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4042340124200.

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, 267573047 + ... + 267588153.

It is an arithmetic number, because the mean of its divisors is an integer number (56412516600).

Almost surely, 2^{4042340124200} is an apocalyptic number.

4042340124200 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 4042340124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415601593600).

4042340124200 is an abundant number, since it is smaller than the sum of its proper divisors (6788863063000).

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

4042340124200 is a wasteful number, since it uses less digits than its factorization.

4042340124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16720 (or 16711 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4042340124200 its reverse (24210432404), we get a palindrome (4066550556604).

The spelling of 4042340124200 in words is "four trillion, forty-two billion, three hundred forty million, one hundred twenty-four thousand, two hundred".