24014430241242 has 256 divisors, whose sum is σ = 59842051153920. Its totient is φ = 6271661260800.

The previous prime is 24014430241211. The next prime is 24014430241247. The reversal of 24014430241242 is 24214203441042.

It is a super-2 number, since 2×24014430241242² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24014430241247) 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, 8318124723 + ... + 8318127609.

It is an arithmetic number, because the mean of its divisors is an integer number (233758012320).

Almost surely, 2^{24014430241242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24014430241242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29921025576960).

24014430241242 is an abundant number, since it is smaller than the sum of its proper divisors (35827620912678).

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

24014430241242 is a wasteful number, since it uses less digits than its factorization.

24014430241242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 24014430241242 its reverse (24214203441042), we get a palindrome (48228633682284).

The spelling of 24014430241242 in words is "twenty-four trillion, fourteen billion, four hundred thirty million, two hundred forty-one thousand, two hundred forty-two".