42408343200 has 72 divisors (see below), whose sum is σ = 138039164928. Its totient is φ = 11308890880.

The previous prime is 42408343193. The next prime is 42408343231. The reversal of 42408343200 is 234380424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8832672 + ... + 8837471.

It is an arithmetic number, because the mean of its divisors is an integer number (1917210624).

Almost surely, 2^42408343200 is an apocalyptic number.

42408343200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42408343200 is an abundant number, since it is smaller than the sum of its proper divisors (95630821728).

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

42408343200 is a wasteful number, since it uses less digits than its factorization.

42408343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17670166 (or 17670153 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 42408343200 in words is "forty-two billion, four hundred eight million, three hundred forty-three thousand, two hundred".