42421414112 has 96 divisors (see below), whose sum is σ = 104270664960. Its totient is φ = 16504750080.

The previous prime is 42421414111. The next prime is 42421414157. The reversal of 42421414112 is 21141412424.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42421414111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1809248 + ... + 1832544.

It is an arithmetic number, because the mean of its divisors is an integer number (1086152760).

Almost surely, 2^42421414112 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 42421414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52135332480).

42421414112 is an abundant number, since it is smaller than the sum of its proper divisors (61849250848).

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

42421414112 is a wasteful number, since it uses less digits than its factorization.

42421414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24064 (or 24056 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

Adding to 42421414112 its reverse (21141412424), we get a palindrome (63562826536).

It can be divided in two parts, 42421 and 414112, that added together give a cube (456533 = 77³).

The spelling of 42421414112 in words is "forty-two billion, four hundred twenty-one million, four hundred fourteen thousand, one hundred twelve".