42014566720 has 112 divisors (see below), whose sum is σ = 115240734720. Its totient is φ = 14291472384.

The previous prime is 42014566679. The next prime is 42014566787. The reversal of 42014566720 is 2766541024.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 42014566720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210636 + ... + 358324.

Almost surely, 2^42014566720 is an apocalyptic number.

42014566720 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 42014566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57620367360).

42014566720 is an abundant number, since it is smaller than the sum of its proper divisors (73226168000).

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

42014566720 is a wasteful number, since it uses less digits than its factorization.

42014566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147840 (or 147830 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 42014566720 in words is "forty-two billion, fourteen million, five hundred sixty-six thousand, seven hundred twenty".