42778368000 has 480 divisors, whose sum is σ = 159541462080. Its totient is φ = 11402035200.

The previous prime is 42778367971. The next prime is 42778368001. The reversal of 42778368000 is 86387724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42778368001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20734969 + ... + 20737031.

It is an arithmetic number, because the mean of its divisors is an integer number (332378046).

Almost surely, 2^42778368000 is an apocalyptic number.

42778368000 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 42778368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79770731040).

42778368000 is an abundant number, since it is smaller than the sum of its proper divisors (116763094080).

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

42778368000 is an equidigital number, since it uses as much as digits as its factorization.

42778368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 42778368000 in words is "forty-two billion, seven hundred seventy-eight million, three hundred sixty-eight thousand".