42782288472 has 576 divisors, whose sum is σ = 151045440000. Its totient is φ = 10925228160.

The previous prime is 42782288459. The next prime is 42782288509. The reversal of 42782288472 is 27488228724.

It is a happy number.

42782288472 is a `hidden beast` number, since 4 + 2 + 78 + 22 + 88 + 472 = 666.

42782288472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 307786179 + ... + 307786317.

Almost surely, 2^42782288472 is an apocalyptic number.

42782288472 is a gapful number since it is divisible by the number (42) 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 42782288472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75522720000).

42782288472 is an abundant number, since it is smaller than the sum of its proper divisors (108263151528).

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

42782288472 is a wasteful number, since it uses less digits than its factorization.

42782288472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 265 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 54.

The spelling of 42782288472 in words is "forty-two billion, seven hundred eighty-two million, two hundred eighty-eight thousand, four hundred seventy-two".