42778990080 has 200 divisors, whose sum is σ = 153221568192. Its totient is φ = 11407675392.

The previous prime is 42778990073. The next prime is 42778990097. The reversal of 42778990080 is 8009987724.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42778989999 and 42778990026.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 104209 + ... + 310511.

Almost surely, 2^42778990080 is an apocalyptic number.

42778990080 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 42778990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76610784096).

42778990080 is an abundant number, since it is smaller than the sum of its proper divisors (110442578112).

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

42778990080 is an equidigital number, since it uses as much as digits as its factorization.

42778990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206338 (or 206313 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 42778990080 in words is "forty-two billion, seven hundred seventy-eight million, nine hundred ninety thousand, eighty".