241400410000 has 200 divisors, whose sum is σ = 629557277184. Its totient is φ = 89379840000.

The previous prime is 241400409997. The next prime is 241400410033. The reversal of 241400410000 is 14004142.

241400410000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7113072 + ... + 7146928.

Almost surely, 2^241400410000 is an apocalyptic number.

241400410000 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 241400410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314778638592).

241400410000 is an abundant number, since it is smaller than the sum of its proper divisors (388156867184).

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

241400410000 is a wasteful number, since it uses less digits than its factorization.

241400410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33939 (or 33918 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 241400410000 its reverse (14004142), we get a palindrome (241414414142).

The spelling of 241400410000 in words is "two hundred forty-one billion, four hundred million, four hundred ten thousand".