241642607167104 has 384 divisors, whose sum is σ = 759893247469440. Its totient is φ = 67583128166400.

The previous prime is 241642607167079. The next prime is 241642607167109. The reversal of 241642607167104 is 401761706246142.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×241642607167104² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241642607167109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5279820829 + ... + 5279866595.

It is an arithmetic number, because the mean of its divisors is an integer number (1978888665285).

Almost surely, 2^{241642607167104} is an apocalyptic number.

241642607167104 is a gapful number since it is divisible by the number (24) 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 241642607167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379946623734720).

241642607167104 is an abundant number, since it is smaller than the sum of its proper divisors (518250640302336).

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

241642607167104 is a wasteful number, since it uses less digits than its factorization.

241642607167104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54560 (or 54537 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 241642607167104 in words is "two hundred forty-one trillion, six hundred forty-two billion, six hundred seven million, one hundred sixty-seven thousand, one hundred four".