42009135648 has 48 divisors (see below), whose sum is σ = 113831214336. Its totient is φ = 13551333120.

The previous prime is 42009135643. The next prime is 42009135677. The reversal of 42009135648 is 84653190024.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42009135643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7055011 + ... + 7060962.

It is an arithmetic number, because the mean of its divisors is an integer number (2371483632).

Almost surely, 2^42009135648 is an apocalyptic number.

42009135648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42009135648 is an abundant number, since it is smaller than the sum of its proper divisors (71822078688).

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

42009135648 is a wasteful number, since it uses less digits than its factorization.

42009135648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116017 (or 14116009 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 42009135648 in words is "forty-two billion, nine million, one hundred thirty-five thousand, six hundred forty-eight".