241468476480 has 672 divisors, whose sum is σ = 1063514499840. Its totient is φ = 48817520640.

The previous prime is 241468476377. The next prime is 241468476497. The reversal of 241468476480 is 84674864142.

241468476480 is a `hidden beast` number, since 2 + 4 + 1 + 468 + 47 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8190406 + ... + 8219834.

Almost surely, 2^241468476480 is an apocalyptic number.

241468476480 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 241468476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531757249920).

241468476480 is an abundant number, since it is smaller than the sum of its proper divisors (822046023360).

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

241468476480 is a wasteful number, since it uses less digits than its factorization.

241468476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29507 (or 29494 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 241468476480 in words is "two hundred forty-one billion, four hundred sixty-eight million, four hundred seventy-six thousand, four hundred eighty".