241416145310000 has 200 divisors, whose sum is σ = 601629017088000. Its totient is φ = 93767641632000.

The previous prime is 241416145309991. The next prime is 241416145310129. The reversal of 241416145310000 is 13541614142.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×241416145310000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57667751 + ... + 61712249.

It is an arithmetic number, because the mean of its divisors is an integer number (3008145085440).

Almost surely, 2^{241416145310000} is an apocalyptic number.

241416145310000 is a gapful number since it is divisible by the number (20) 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 241416145310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300814508544000).

241416145310000 is an abundant number, since it is smaller than the sum of its proper divisors (360212871778000).

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

241416145310000 is a wasteful number, since it uses less digits than its factorization.

241416145310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044701 (or 4044680 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 241416145310000 its reverse (13541614142), we get a palindrome (241429686924142).

The spelling of 241416145310000 in words is "two hundred forty-one trillion, four hundred sixteen billion, one hundred forty-five million, three hundred ten thousand".