4224343200042 has 192 divisors, whose sum is σ = 10479112519680. Its totient is φ = 1110682564992.

The previous prime is 4224343200029. The next prime is 4224343200073. The reversal of 4224343200042 is 2400023434224.

It is a junction number, because it is equal to n+sod(n) for n = 4224343199982 and 4224343200009.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182331543 + ... + 182354709.

It is an arithmetic number, because the mean of its divisors is an integer number (54578711040).

Almost surely, 2^{4224343200042} is an apocalyptic number.

4224343200042 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 4224343200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239556259840).

4224343200042 is an abundant number, since it is smaller than the sum of its proper divisors (6254769319638).

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

4224343200042 is a wasteful number, since it uses less digits than its factorization.

4224343200042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23537 (or 23514 counting only the distinct ones).

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

Adding to 4224343200042 its reverse (2400023434224), we get a palindrome (6624366634266).

The spelling of 4224343200042 in words is "four trillion, two hundred twenty-four billion, three hundred forty-three million, two hundred thousand, forty-two".