42436345140 has 216 divisors, whose sum is σ = 150110120160. Its totient is φ = 9675743616.

The previous prime is 42436345111. The next prime is 42436345141. The reversal of 42436345140 is 4154363424.

42436345140 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 634 + 5 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42436345095 and 42436345104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42436345141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3689839 + ... + 3701321.

It is an arithmetic number, because the mean of its divisors is an integer number (694954260).

Almost surely, 2^42436345140 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 42436345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75055060080).

42436345140 is an abundant number, since it is smaller than the sum of its proper divisors (107673775020).

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

42436345140 is a wasteful number, since it uses less digits than its factorization.

42436345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 42436345140 in words is "forty-two billion, four hundred thirty-six million, three hundred forty-five thousand, one hundred forty".