4042073242240 has 256 divisors, whose sum is σ = 11578820659200. Its totient is φ = 1331940741120.

The previous prime is 4042073242189. The next prime is 4042073242247. The reversal of 4042073242240 is 422423702404.

It is a junction number, because it is equal to n+sod(n) for n = 4042073242196 and 4042073242205.

It is not an unprimeable number, because it can be changed into a prime (4042073242247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2419549 + ... + 3733411.

It is an arithmetic number, because the mean of its divisors is an integer number (45229768200).

Almost surely, 2^{4042073242240} is an apocalyptic number.

4042073242240 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 4042073242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789410329600).

4042073242240 is an abundant number, since it is smaller than the sum of its proper divisors (7536747416960).

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

4042073242240 is a wasteful number, since it uses less digits than its factorization.

4042073242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313935 (or 1313923 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 34.

Adding to 4042073242240 its reverse (422423702404), we get a palindrome (4464496944644).

The spelling of 4042073242240 in words is "four trillion, forty-two billion, seventy-three million, two hundred forty-two thousand, two hundred forty".