30242414424000 has 896 divisors, whose sum is σ = 105291910563840. Its totient is φ = 7638478848000.

The previous prime is 30242414423953. The next prime is 30242414424017. The reversal of 30242414424000 is 42441424203.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 31274471517 + ... + 31274472483.

It is an arithmetic number, because the mean of its divisors is an integer number (117513293040).

Almost surely, 2^{30242414424000} is an apocalyptic number.

30242414424000 is a gapful number since it is divisible by the number (30) 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 30242414424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52645955281920).

30242414424000 is an abundant number, since it is smaller than the sum of its proper divisors (75049496139840).

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

30242414424000 is a wasteful number, since it uses less digits than its factorization.

30242414424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 30242414424000 its reverse (42441424203), we get a palindrome (30284855848203).

The spelling of 30242414424000 in words is "thirty trillion, two hundred forty-two billion, four hundred fourteen million, four hundred twenty-four thousand".