4242534000000 has 896 divisors, whose sum is σ = 14940258762240. Its totient is φ = 1064448000000.

The previous prime is 4242533999999. The next prime is 4242534000031. The reversal of 4242534000000 is 4352424.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9797999784 + ... + 9798000216.

It is an arithmetic number, because the mean of its divisors is an integer number (16674395940).

Almost surely, 2^{4242534000000} is an apocalyptic number.

4242534000000 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 4242534000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470129381120).

4242534000000 is an abundant number, since it is smaller than the sum of its proper divisors (10697724762240).

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

4242534000000 is an frugal number, since it uses more digits than its factorization.

4242534000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 4242534000000 its reverse (4352424), we get a palindrome (4242538352424).

The spelling of 4242534000000 in words is "four trillion, two hundred forty-two billion, five hundred thirty-four million", and thus it is an aban number.