42842123436 has 384 divisors, whose sum is σ = 129032386560. Its totient is φ = 10785374208.

The previous prime is 42842123383. The next prime is 42842123447. The reversal of 42842123436 is 63432124824.

It is a junction number, because it is equal to n+sod(n) for n = 42842123394 and 42842123403.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247642246 + ... + 247642418.

It is an arithmetic number, because the mean of its divisors is an integer number (336021840).

Almost surely, 2^42842123436 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 42842123436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64516193280).

42842123436 is an abundant number, since it is smaller than the sum of its proper divisors (86190263124).

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

42842123436 is a wasteful number, since it uses less digits than its factorization.

42842123436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The spelling of 42842123436 in words is "forty-two billion, eight hundred forty-two million, one hundred twenty-three thousand, four hundred thirty-six".