241815518142 has 96 divisors (see below), whose sum is σ = 541971585792. Its totient is φ = 71326080000.

The previous prime is 241815518137. The next prime is 241815518167.

241815518142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×241815518142² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241815518094 and 241815518103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23816767 + ... + 23826917.

It is an arithmetic number, because the mean of its divisors is an integer number (5645537352).

Almost surely, 2^241815518142 is an apocalyptic number.

241815518142 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 241815518142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270985792896).

241815518142 is an abundant number, since it is smaller than the sum of its proper divisors (300156067650).

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

241815518142 is a wasteful number, since it uses less digits than its factorization.

241815518142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10386 (or 10325 counting only the distinct ones).

The product of its digits is 102400, while the sum is 42.

It can be divided in two parts, 241815 and 518142, that added together give a palindrome (759957).

The spelling of 241815518142 in words is "two hundred forty-one billion, eight hundred fifteen million, five hundred eighteen thousand, one hundred forty-two".