241863586823040 has 6144 divisors, whose sum is σ = 1104488567930880. Its totient is φ = 43823734456320.

The previous prime is 241863586823039. The next prime is 241863586823069. The reversal of 241863586823040 is 40328685368142.

241863586823040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1904437691457 + ... + 1904437691583.

It is an arithmetic number, because the mean of its divisors is an integer number (179767019520).

Almost surely, 2^{241863586823040} is an apocalyptic number.

241863586823040 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 241863586823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552244283965440).

241863586823040 is an abundant number, since it is smaller than the sum of its proper divisors (862624981107840).

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

241863586823040 is a wasteful number, since it uses less digits than its factorization.

241863586823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 241863586823040 in words is "two hundred forty-one trillion, eight hundred sixty-three billion, five hundred eighty-six million, eight hundred twenty-three thousand, forty".