241998063410880 has 2240 divisors, whose sum is σ = 1101078467343360. Its totient is φ = 49317180604416.

The previous prime is 241998063410819. The next prime is 241998063410921. The reversal of 241998063410880 is 88014360899142.

241998063410880 is a `hidden beast` number, since 2 + 4 + 1 + 9 + 9 + 80 + 63 + 410 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14241035664 + ... + 14241052656.

Almost surely, 2^{241998063410880} is an apocalyptic number.

241998063410880 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 241998063410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550539233671680).

241998063410880 is an abundant number, since it is smaller than the sum of its proper divisors (859080403932480).

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

241998063410880 is an equidigital number, since it uses as much as digits as its factorization.

241998063410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17080 (or 17046 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 241998063410880 in words is "two hundred forty-one trillion, nine hundred ninety-eight billion, sixty-three million, four hundred ten thousand, eight hundred eighty".