42424728720 has 160 divisors (see below), whose sum is σ = 148420321920. Its totient is φ = 9930117120.

The previous prime is 42424728707. The next prime is 42424728733. The reversal of 42424728720 is 2782742424.

It is a happy number.

42424728720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42424728707) and next prime (42424728733).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200509 + ... + 353628.

It is an arithmetic number, because the mean of its divisors is an integer number (927627012).

Almost surely, 2^42424728720 is an apocalyptic number.

42424728720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42424728720 is an abundant number, since it is smaller than the sum of its proper divisors (105995593200).

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

42424728720 is a wasteful number, since it uses less digits than its factorization.

42424728720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554193 (or 554187 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 42.

The spelling of 42424728720 in words is "forty-two billion, four hundred twenty-four million, seven hundred twenty-eight thousand, seven hundred twenty".