241229681280 has 384 divisors, whose sum is σ = 993845160000. Its totient is φ = 55138019328.

The previous prime is 241229681269. The next prime is 241229681281. The reversal of 241229681280 is 82186922142.

241229681280 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 296 + 81 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (241229681281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704271 + ... + 989169.

Almost surely, 2^241229681280 is an apocalyptic number.

241229681280 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 241229681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496922580000).

241229681280 is an abundant number, since it is smaller than the sum of its proper divisors (752615478720).

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

241229681280 is a wasteful number, since it uses less digits than its factorization.

241229681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284941 (or 284916 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 241229681280 in words is "two hundred forty-one billion, two hundred twenty-nine million, six hundred eighty-one thousand, two hundred eighty".