241555240080 has 960 divisors, whose sum is σ = 1036887920640. Its totient is φ = 48945254400.

The previous prime is 241555240063. The next prime is 241555240103. The reversal of 241555240080 is 80042555142.

241555240080 is a `hidden beast` number, since 2 + 4 + 1 + 55 + 524 + 0 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 429049879 + ... + 429050441.

It is an arithmetic number, because the mean of its divisors is an integer number (1080091584).

Almost surely, 2^241555240080 is an apocalyptic number.

241555240080 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 241555240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518443960320).

241555240080 is an abundant number, since it is smaller than the sum of its proper divisors (795332680560).

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

241555240080 is a wasteful number, since it uses less digits than its factorization.

241555240080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 241555240080 in words is "two hundred forty-one billion, five hundred fifty-five million, two hundred forty thousand, eighty".