42365511342 has 192 divisors, whose sum is σ = 119636434944. Its totient is φ = 10506323520.

The previous prime is 42365511341. The next prime is 42365511367. The reversal of 42365511342 is 24311556324.

42365511342 is a `hidden beast` number, since 42 + 3 + 65 + 511 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42365511297 and 42365511306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42365511341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26362303 + ... + 26363909.

It is an arithmetic number, because the mean of its divisors is an integer number (623106432).

Almost surely, 2^42365511342 is an apocalyptic number.

42365511342 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 42365511342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59818217472).

42365511342 is an abundant number, since it is smaller than the sum of its proper divisors (77270923602).

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

42365511342 is a wasteful number, since it uses less digits than its factorization.

42365511342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2480 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 42365511342 in words is "forty-two billion, three hundred sixty-five million, five hundred eleven thousand, three hundred forty-two".