42306348800 has 108 divisors (see below), whose sum is σ = 104843341680. Its totient is φ = 16901775360.

The previous prime is 42306348793. The next prime is 42306348827. The reversal of 42306348800 is 884360324.

It is a super-2 number, since 2×42306348800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5878004 + ... + 5885196.

Almost surely, 2^42306348800 is an apocalyptic number.

42306348800 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 42306348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52421670840).

42306348800 is an abundant number, since it is smaller than the sum of its proper divisors (62536992880).

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

42306348800 is an equidigital number, since it uses as much as digits as its factorization.

42306348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 42306348800 in words is "forty-two billion, three hundred six million, three hundred forty-eight thousand, eight hundred".