42685218800 has 240 divisors, whose sum is σ = 119740907520. Its totient is φ = 14321387520.

The previous prime is 42685218799. The next prime is 42685218803. The reversal of 42685218800 is 881258624.

It is a super-3 number, since 3×42685218800³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42685218803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25666769 + ... + 25668431.

It is an arithmetic number, because the mean of its divisors is an integer number (498920448).

Almost surely, 2^42685218800 is an apocalyptic number.

42685218800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42685218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59870453760).

42685218800 is an abundant number, since it is smaller than the sum of its proper divisors (77055688720).

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

42685218800 is a wasteful number, since it uses less digits than its factorization.

42685218800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 42685218800 in words is "forty-two billion, six hundred eighty-five million, two hundred eighteen thousand, eight hundred".