42209540208 has 320 divisors, whose sum is σ = 136302704640. Its totient is φ = 12393907200.

The previous prime is 42209540143. The next prime is 42209540209. The reversal of 42209540208 is 80204590224.

42209540208 is a `hidden beast` number, since 42 + 209 + 5 + 402 + 0 + 8 = 666.

42209540208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42209540209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75779866 + ... + 75780422.

It is an arithmetic number, because the mean of its divisors is an integer number (425945952).

Almost surely, 2^42209540208 is an apocalyptic number.

42209540208 is a gapful number since it is divisible by the number (48) 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 42209540208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68151352320).

42209540208 is an abundant number, since it is smaller than the sum of its proper divisors (94093164432).

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

42209540208 is a wasteful number, since it uses less digits than its factorization.

42209540208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42209540208 in words is "forty-two billion, two hundred nine million, five hundred forty thousand, two hundred eight".