4240002234342 has 256 divisors, whose sum is σ = 10278615398400. Its totient is φ = 1140623769600.

The previous prime is 4240002234331. The next prime is 4240002234343. The reversal of 4240002234342 is 2434322000424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240002234343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2540443884 + ... + 2540445552.

It is an arithmetic number, because the mean of its divisors is an integer number (40150841400).

Almost surely, 2^{4240002234342} is an apocalyptic number.

4240002234342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240002234342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139307699200).

4240002234342 is an abundant number, since it is smaller than the sum of its proper divisors (6038613164058).

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

4240002234342 is a wasteful number, since it uses less digits than its factorization.

4240002234342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 4240002234342 its reverse (2434322000424), we get a palindrome (6674324234766).

The spelling of 4240002234342 in words is "four trillion, two hundred forty billion, two million, two hundred thirty-four thousand, three hundred forty-two".