24121444412142 has 144 divisors (see below), whose sum is σ = 66331710162432. Its totient is φ = 6264467022240.

The previous prime is 24121444412129. The next prime is 24121444412167.

24121444412142 is a `hidden beast` number, since 2 + 4 + 12 + 144 + 441 + 21 + 42 = 666.

24121444412142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24121444412097 and 24121444412106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73600803 + ... + 73927809.

It is an arithmetic number, because the mean of its divisors is an integer number (460636876128).

Almost surely, 2^{24121444412142} is an apocalyptic number.

24121444412142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24121444412142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33165855081216).

24121444412142 is an abundant number, since it is smaller than the sum of its proper divisors (42210265750290).

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

24121444412142 is a wasteful number, since it uses less digits than its factorization.

24121444412142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334643 (or 334633 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 2412144 and 4412142, that added together give a palindrome (6824286).

The spelling of 24121444412142 in words is "twenty-four trillion, one hundred twenty-one billion, four hundred forty-four million, four hundred twelve thousand, one hundred forty-two".