4242342311200 has 144 divisors (see below), whose sum is σ = 11838541284864. Its totient is φ = 1454221670400.

The previous prime is 4242342311177. The next prime is 4242342311201. The reversal of 4242342311200 is 21132432424.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4242342311201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28412740 + ... + 28561660.

It is an arithmetic number, because the mean of its divisors is an integer number (82212092256).

Almost surely, 2^{4242342311200} is an apocalyptic number.

4242342311200 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 4242342311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5919270642432).

4242342311200 is an abundant number, since it is smaller than the sum of its proper divisors (7596198973664).

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

4242342311200 is a wasteful number, since it uses less digits than its factorization.

4242342311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154035 (or 154022 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4242342311200 its reverse (21132432424), we get a palindrome (4263474743624).

The spelling of 4242342311200 in words is "four trillion, two hundred forty-two billion, three hundred forty-two million, three hundred eleven thousand, two hundred".