42112410320 has 80 divisors (see below), whose sum is σ = 102332356560. Its totient is φ = 16096346112.

The previous prime is 42112410299. The next prime is 42112410343. The reversal of 42112410320 is 2301421124.

It can be written as a sum of positive squares in 8 ways, for example, as 1350415504 + 40761994816 = 36748^2 + 201896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42112410292 and 42112410301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131474 + ... + 318606.

It is an arithmetic number, because the mean of its divisors is an integer number (1279154457).

Almost surely, 2^42112410320 is an apocalyptic number.

42112410320 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 42112410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166178280).

42112410320 is an abundant number, since it is smaller than the sum of its proper divisors (60219946240).

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

42112410320 is a wasteful number, since it uses less digits than its factorization.

42112410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187272 (or 187266 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42112410320 its reverse (2301421124), we get a palindrome (44413831444).

The spelling of 42112410320 in words is "forty-two billion, one hundred twelve million, four hundred ten thousand, three hundred twenty".