42436005165312 has 144 divisors (see below), whose sum is σ = 123218229056832. Its totient is φ = 12858440949760.

The previous prime is 42436005165233. The next prime is 42436005165317. The reversal of 42436005165312 is 21356150063424.

It is not an unprimeable number, because it can be changed into a prime (42436005165317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118067218 + ... + 118426094.

It is an arithmetic number, because the mean of its divisors is an integer number (855682146228).

Almost surely, 2^{42436005165312} 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 42436005165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61609114528416).

42436005165312 is an abundant number, since it is smaller than the sum of its proper divisors (80782223891520).

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

42436005165312 is a wasteful number, since it uses less digits than its factorization.

42436005165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372904 (or 372890 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 42436005165312 in words is "forty-two trillion, four hundred thirty-six billion, five million, one hundred sixty-five thousand, three hundred twelve".