4042200240240 has 320 divisors, whose sum is σ = 13360160466432. Its totient is φ = 1007471001600.

The previous prime is 4042200240209. The next prime is 4042200240241. The reversal of 4042200240240 is 420420022404.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4042200240240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042200240241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1603410180 + ... + 1603412700.

Almost surely, 2^{4042200240240} is an apocalyptic number.

4042200240240 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 4042200240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680080233216).

4042200240240 is an abundant number, since it is smaller than the sum of its proper divisors (9317960226192).

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

4042200240240 is a wasteful number, since it uses less digits than its factorization.

4042200240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4042200240240 its reverse (420420022404), we get a palindrome (4462620262644).

The spelling of 4042200240240 in words is "four trillion, forty-two billion, two hundred million, two hundred forty thousand, two hundred forty".