42111422411124 has 384 divisors, whose sum is σ = 120390415810560. Its totient is φ = 11302756761600.

The previous prime is 42111422411089. The next prime is 42111422411129.

It is a happy number.

42111422411124 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 42111422411091 and 42111422411100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42111422411129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6915980272 + ... + 6915986360.

It is an arithmetic number, because the mean of its divisors is an integer number (313516707840).

Almost surely, 2^{42111422411124} is an apocalyptic number.

42111422411124 is a gapful number since it is divisible by the number (44) 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 42111422411124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60195207905280).

42111422411124 is an abundant number, since it is smaller than the sum of its proper divisors (78278993399436).

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

42111422411124 is a wasteful number, since it uses less digits than its factorization.

42111422411124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8879 (or 8877 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 4211142 and 2411124, that added together give a palindrome (6622266).

The spelling of 42111422411124 in words is "forty-two trillion, one hundred eleven billion, four hundred twenty-two million, four hundred eleven thousand, one hundred twenty-four".