42771900720 has 160 divisors (see below), whose sum is σ = 140845217472. Its totient is φ = 10700292096.

The previous prime is 42771900713. The next prime is 42771900739. The reversal of 42771900720 is 2700917724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260294 + ... + 1293786.

Almost surely, 2^42771900720 is an apocalyptic number.

42771900720 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 42771900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70422608736).

42771900720 is an abundant number, since it is smaller than the sum of its proper divisors (98073316752).

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

42771900720 is a wasteful number, since it uses less digits than its factorization.

42771900720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33839 (or 33833 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 42771900720 in words is "forty-two billion, seven hundred seventy-one million, nine hundred thousand, seven hundred twenty".