241729781748 has 288 divisors, whose sum is σ = 748420323840. Its totient is φ = 60021077760.

The previous prime is 241729781737. The next prime is 241729781771. The reversal of 241729781748 is 847187927142.

It is a junction number, because it is equal to n+sod(n) for n = 241729781691 and 241729781700.

It is a congruent number.

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, 23668363 + ... + 23678573.

It is an arithmetic number, because the mean of its divisors is an integer number (2598681680).

Almost surely, 2^241729781748 is an apocalyptic number.

241729781748 is a gapful number since it is divisible by the number (28) 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 241729781748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374210161920).

241729781748 is an abundant number, since it is smaller than the sum of its proper divisors (506690542092).

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

241729781748 is a wasteful number, since it uses less digits than its factorization.

241729781748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427 (or 10418 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 60.

The spelling of 241729781748 in words is "two hundred forty-one billion, seven hundred twenty-nine million, seven hundred eighty-one thousand, seven hundred forty-eight".