42771348864 has 160 divisors (see below), whose sum is σ = 128458004400. Its totient is φ = 14125943808.

The previous prime is 42771348797. The next prime is 42771348881. The reversal of 42771348864 is 46884317724.

42771348864 is a `hidden beast` number, since 427 + 7 + 134 + 8 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42771348864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1111189 + ... + 1149035.

Almost surely, 2^42771348864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42771348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64229002200).

42771348864 is an abundant number, since it is smaller than the sum of its proper divisors (85686655536).

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

42771348864 is a wasteful number, since it uses less digits than its factorization.

42771348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37982 (or 37961 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 42771348864 in words is "forty-two billion, seven hundred seventy-one million, three hundred forty-eight thousand, eight hundred sixty-four".