42013443340 has 288 divisors, whose sum is σ = 110039731200. Its totient is φ = 13376563200.

The previous prime is 42013443337. The next prime is 42013443343. The reversal of 42013443340 is 4334431024.

It is an interprime number because it is at equal distance from previous prime (42013443337) and next prime (42013443343).

It is a junction number, because it is equal to n+sod(n) for n = 42013443299 and 42013443308.

It is not an unprimeable number, because it can be changed into a prime (42013443343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46117485 + ... + 46118395.

It is an arithmetic number, because the mean of its divisors is an integer number (382082400).

Almost surely, 2^42013443340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013443340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55019865600).

42013443340 is an abundant number, since it is smaller than the sum of its proper divisors (68026287860).

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

42013443340 is a wasteful number, since it uses less digits than its factorization.

42013443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42013443340 its reverse (4334431024), we get a palindrome (46347874364).

The spelling of 42013443340 in words is "forty-two billion, thirteen million, four hundred forty-three thousand, three hundred forty".