30132042014424 has 256 divisors, whose sum is σ = 94573966417920. Its totient is φ = 7801547120640.

The previous prime is 30132042014423. The next prime is 30132042014429. The reversal of 30132042014424 is 42441024023103.

It is a junction number, because it is equal to n+sod(n) for n = 30132042014391 and 30132042014400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30132042014423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16577794 + ... + 18305390.

It is an arithmetic number, because the mean of its divisors is an integer number (369429556320).

Almost surely, 2^{30132042014424} is an apocalyptic number.

30132042014424 is a gapful number since it is divisible by the number (34) 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 30132042014424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47286983208960).

30132042014424 is an abundant number, since it is smaller than the sum of its proper divisors (64441924403496).

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

30132042014424 is a wasteful number, since it uses less digits than its factorization.

30132042014424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727858 (or 1727854 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 30132042014424 its reverse (42441024023103), we get a palindrome (72573066037527).

The spelling of 30132042014424 in words is "thirty trillion, one hundred thirty-two billion, forty-two million, fourteen thousand, four hundred twenty-four".