241013514000 has 320 divisors, whose sum is σ = 888845967360. Its totient is φ = 55038297600.

The previous prime is 241013513981. The next prime is 241013514011. The reversal of 241013514000 is 415310142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64804141 + ... + 64807859.

It is an arithmetic number, because the mean of its divisors is an integer number (2777643648).

Almost surely, 2^241013514000 is an apocalyptic number.

241013514000 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 241013514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444422983680).

241013514000 is an abundant number, since it is smaller than the sum of its proper divisors (647832453360).

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

241013514000 is a wasteful number, since it uses less digits than its factorization.

241013514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 241013514000 its reverse (415310142), we get a palindrome (241428824142).

The spelling of 241013514000 in words is "two hundred forty-one billion, thirteen million, five hundred fourteen thousand".