241316366401344 has 224 divisors, whose sum is σ = 688269855441280. Its totient is φ = 74178561024000.

The previous prime is 241316366401321. The next prime is 241316366401379. The reversal of 241316366401344 is 443104663613142.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 241316366401293 and 241316366401302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13185956994 + ... + 13185975294.

It is an arithmetic number, because the mean of its divisors is an integer number (3072633283220).

Almost surely, 2^{241316366401344} is an apocalyptic number.

241316366401344 is a gapful number since it is divisible by the number (24) 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 241316366401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344134927720640).

241316366401344 is an abundant number, since it is smaller than the sum of its proper divisors (446953489039936).

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

241316366401344 is a wasteful number, since it uses less digits than its factorization.

241316366401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23209 (or 23199 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 241316366401344 in words is "two hundred forty-one trillion, three hundred sixteen billion, three hundred sixty-six million, four hundred one thousand, three hundred forty-four".