42809919360 has 256 divisors, whose sum is σ = 150374568960. Its totient is φ = 10292502528.

The previous prime is 42809919359. The next prime is 42809919379. The reversal of 42809919360 is 6391990824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053337 + ... + 1093223.

It is an arithmetic number, because the mean of its divisors is an integer number (587400660).

Almost surely, 2^42809919360 is an apocalyptic number.

42809919360 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 42809919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75187284480).

42809919360 is an abundant number, since it is smaller than the sum of its proper divisors (107564649600).

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

42809919360 is a wasteful number, since it uses less digits than its factorization.

42809919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39965 (or 39953 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 42809919360 in words is "forty-two billion, eight hundred nine million, nine hundred nineteen thousand, three hundred sixty".