241266939863040 has 3584 divisors, whose sum is σ = 1132288779847680. Its totient is φ = 47882761666560.

The previous prime is 241266939862981. The next prime is 241266939863051. The reversal of 241266939863040 is 40368939662142.

241266939863040 is a `hidden beast` number, since 2 + 4 + 126 + 69 + 398 + 63 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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 255 ways as a sum of consecutive naturals, for example, 138579516570 + ... + 138579518310.

It is an arithmetic number, because the mean of its divisors is an integer number (315928789020).

Almost surely, 2^{241266939863040} is an apocalyptic number.

241266939863040 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 241266939863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566144389923840).

241266939863040 is an abundant number, since it is smaller than the sum of its proper divisors (891021839984640).

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

241266939863040 is an equidigital number, since it uses as much as digits as its factorization.

241266939863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 241266939863040 in words is "two hundred forty-one trillion, two hundred sixty-six billion, nine hundred thirty-nine million, eight hundred sixty-three thousand, forty".