241348120495776 has 576 divisors, whose sum is σ = 804956789145600. Its totient is φ = 67175280488448.

The previous prime is 241348120495721. The next prime is 241348120495789. The reversal of 241348120495776 is 677594021843142.

241348120495776 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 4 + 8 + 12 + 0 + 49 + 577 + 6 = 666.

241348120495776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×241348120495776² (a number of 30 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5465412385 + ... + 5465456543.

It is an arithmetic number, because the mean of its divisors is an integer number (1397494425600).

It is a 1-persistent number, because it is pandigital, but 2⋅241348120495776 = 482696240991552 is not.

Almost surely, 2^{241348120495776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241348120495776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402478394572800).

241348120495776 is an abundant number, since it is smaller than the sum of its proper divisors (563608668649824).

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

241348120495776 is a wasteful number, since it uses less digits than its factorization.

241348120495776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44721 (or 44710 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 241348120495776 in words is "two hundred forty-one trillion, three hundred forty-eight billion, one hundred twenty million, four hundred ninety-five thousand, seven hundred seventy-six".