42886710720 has 336 divisors, whose sum is σ = 171107209728. Its totient is φ = 9656064000.

The previous prime is 42886710689. The next prime is 42886710721. The reversal of 42886710720 is 2701768824.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42886710721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1334845 + ... + 1366595.

It is an arithmetic number, because the mean of its divisors is an integer number (509247648).

Almost surely, 2^42886710720 is an apocalyptic number.

42886710720 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 42886710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85553604864).

42886710720 is an abundant number, since it is smaller than the sum of its proper divisors (128220499008).

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

42886710720 is a wasteful number, since it uses less digits than its factorization.

42886710720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31848 (or 31835 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 42886710720 in words is "forty-two billion, eight hundred eighty-six million, seven hundred ten thousand, seven hundred twenty".