42777782208 has 336 divisors, whose sum is σ = 146855631104. Its totient is φ = 12093235200.

The previous prime is 42777782197. The next prime is 42777782269. The reversal of 42777782208 is 80228777724.

42777782208 is a `hidden beast` number, since 427 + 7 + 7 + 7 + 8 + 2 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 47 ways as a sum of consecutive naturals, for example, 10557783 + ... + 10561833.

Almost surely, 2^42777782208 is an apocalyptic number.

42777782208 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 42777782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73427815552).

42777782208 is an abundant number, since it is smaller than the sum of its proper divisors (104077848896).

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

42777782208 is an equidigital number, since it uses as much as digits as its factorization.

42777782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 42777782208 in words is "forty-two billion, seven hundred seventy-seven million, seven hundred eighty-two thousand, two hundred eight".