241253331505440 has 96 divisors (see below), whose sum is σ = 759954599712000. Its totient is φ = 64333662541824.

The previous prime is 241253331505399. The next prime is 241253331505441. The reversal of 241253331505440 is 44505133352142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 241253331505392 and 241253331505401.

It is not an unprimeable number, because it can be changed into a prime (241253331505441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54634297 + ... + 58884743.

It is an arithmetic number, because the mean of its divisors is an integer number (7916193747000).

Almost surely, 2^{241253331505440} is an apocalyptic number.

241253331505440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241253331505440 is an abundant number, since it is smaller than the sum of its proper divisors (518701268206560).

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

241253331505440 is a wasteful number, since it uses less digits than its factorization.

241253331505440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368714 (or 4368706 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 241253331505440 its reverse (44505133352142), we get a palindrome (285758464857582).

The spelling of 241253331505440 in words is "two hundred forty-one trillion, two hundred fifty-three billion, three hundred thirty-one million, five hundred five thousand, four hundred forty".