241042975364160 has 224 divisors, whose sum is σ = 850659568558080. Its totient is φ = 64254427877376.

The previous prime is 241042975364131. The next prime is 241042975364171. The reversal of 241042975364160 is 61463579240142.

241042975364160 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 4 + 2 + 9 + 7 + 536 + 41 + 60 = 666.

It is a super-2 number, since 2×241042975364160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 241042975364097 and 241042975364106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18298689 + ... + 28581951.

Almost surely, 2^{241042975364160} is an apocalyptic number.

241042975364160 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 241042975364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425329784279040).

241042975364160 is an abundant number, since it is smaller than the sum of its proper divisors (609616593193920).

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

241042975364160 is a wasteful number, since it uses less digits than its factorization.

241042975364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286002 (or 10285986 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 241042975364160 in words is "two hundred forty-one trillion, forty-two billion, nine hundred seventy-five million, three hundred sixty-four thousand, one hundred sixty".