241330040414000 has 160 divisors (see below), whose sum is σ = 585198982368000. Its totient is φ = 96256988083200.

The previous prime is 241330040413949. The next prime is 241330040414081. The reversal of 241330040414000 is 414040033142.

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, 8036550986 + ... + 8036581014.

It is an arithmetic number, because the mean of its divisors is an integer number (3657493639800).

Almost surely, 2^{241330040414000} is an apocalyptic number.

241330040414000 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 241330040414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292599491184000).

241330040414000 is an abundant number, since it is smaller than the sum of its proper divisors (343868941954000).

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

241330040414000 is a wasteful number, since it uses less digits than its factorization.

241330040414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41368 (or 41352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 241330040414000 its reverse (414040033142), we get a palindrome (241744080447142).

The spelling of 241330040414000 in words is "two hundred forty-one trillion, three hundred thirty billion, forty million, four hundred fourteen thousand".