42477861888 has 616 divisors, whose sum is σ = 158942835840. Its totient is φ = 11018280960.

The previous prime is 42477861859. The next prime is 42477861901. The reversal of 42477861888 is 88816877424.

42477861888 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 7 + 8 + 618 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (616).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 55 ways as a sum of consecutive naturals, for example, 57479823 + ... + 57480561.

Almost surely, 2^42477861888 is an apocalyptic number.

42477861888 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 42477861888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79471417920).

42477861888 is an abundant number, since it is smaller than the sum of its proper divisors (116464973952).

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

42477861888 is an equidigital number, since it uses as much as digits as its factorization.

42477861888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 762 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 63.

The spelling of 42477861888 in words is "forty-two billion, four hundred seventy-seven million, eight hundred sixty-one thousand, eight hundred eighty-eight".