42120132042324 has 144 divisors (see below), whose sum is σ = 115731505729728. Its totient is φ = 11887110208512.

The previous prime is 42120132042299. The next prime is 42120132042347. The reversal of 42120132042324 is 42324023102124.

It is a junction number, because it is equal to n+sod(n) for n = 42120132042291 and 42120132042300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18386319 + ... + 20549865.

It is an arithmetic number, because the mean of its divisors is an integer number (803691012012).

Almost surely, 2^{42120132042324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42120132042324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57865752864864).

42120132042324 is an abundant number, since it is smaller than the sum of its proper divisors (73611373687404).

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

42120132042324 is a wasteful number, since it uses less digits than its factorization.

42120132042324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163974 (or 2163965 counting only the distinct ones).

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

Adding to 42120132042324 its reverse (42324023102124), we get a palindrome (84444155144448).

The spelling of 42120132042324 in words is "forty-two trillion, one hundred twenty billion, one hundred thirty-two million, forty-two thousand, three hundred twenty-four".