42413110240 has 144 divisors (see below), whose sum is σ = 106409715552. Its totient is φ = 15972461568.

The previous prime is 42413110237. The next prime is 42413110241. The reversal of 42413110240 is 4201131424.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413110241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9643722 + ... + 9648118.

It is an arithmetic number, because the mean of its divisors is an integer number (738956358).

Almost surely, 2^42413110240 is an apocalyptic number.

42413110240 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 42413110240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53204857776).

42413110240 is an abundant number, since it is smaller than the sum of its proper divisors (63996605312).

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

42413110240 is a wasteful number, since it uses less digits than its factorization.

42413110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42413110240 its reverse (4201131424), we get a palindrome (46614241664).

The spelling of 42413110240 in words is "forty-two billion, four hundred thirteen million, one hundred ten thousand, two hundred forty".