42878206080 has 192 divisors, whose sum is σ = 148688092800. Its totient is φ = 11385980928.

The previous prime is 42878206061. The next prime is 42878206081. The reversal of 42878206080 is 8060287824.

It is a happy number.

42878206080 is a `hidden beast` number, since 428 + 78 + 20 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42878206081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361067 + ... + 1392213.

It is an arithmetic number, because the mean of its divisors is an integer number (774417150).

Almost surely, 2^42878206080 is an apocalyptic number.

42878206080 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 42878206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74344046400).

42878206080 is an abundant number, since it is smaller than the sum of its proper divisors (105809886720).

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

42878206080 is a wasteful number, since it uses less digits than its factorization.

42878206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31411 (or 31396 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 42878206080 in words is "forty-two billion, eight hundred seventy-eight million, two hundred six thousand, eighty".