42401240112 has 240 divisors, whose sum is σ = 142348389120. Its totient is φ = 10633244160.

The previous prime is 42401240107. The next prime is 42401240129. The reversal of 42401240112 is 21104210424.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 1161043 + ... + 1197005.

It is an arithmetic number, because the mean of its divisors is an integer number (593118288).

Almost surely, 2^42401240112 is an apocalyptic number.

42401240112 is a gapful number since it is divisible by the number (42) 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 42401240112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71174194560).

42401240112 is an abundant number, since it is smaller than the sum of its proper divisors (99947149008).

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

42401240112 is a wasteful number, since it uses less digits than its factorization.

42401240112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36032 (or 36015 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 42401240112 its reverse (21104210424), we get a palindrome (63505450536).

The spelling of 42401240112 in words is "forty-two billion, four hundred one million, two hundred forty thousand, one hundred twelve".