42856472880 has 480 divisors, whose sum is σ = 159631407936. Its totient is φ = 10237280256.

The previous prime is 42856472863. The next prime is 42856472891. The reversal of 42856472880 is 8827465824.

42856472880 is a `hidden beast` number, since 4 + 2 + 8 + 564 + 72 + 8 + 8 + 0 = 666.

42856472880 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93777612 + ... + 93778068.

Almost surely, 2^42856472880 is an apocalyptic number.

42856472880 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 42856472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79815703968).

42856472880 is an abundant number, since it is smaller than the sum of its proper divisors (116774935056).

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

42856472880 is a wasteful number, since it uses less digits than its factorization.

42856472880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 42856472880 in words is "forty-two billion, eight hundred fifty-six million, four hundred seventy-two thousand, eight hundred eighty".