241070316112080 has 1920 divisors, whose sum is σ = 1067365844213760. Its totient is φ = 47338297344000.

The previous prime is 241070316112079. The next prime is 241070316112097. The reversal of 241070316112080 is 80211613070142.

241070316112080 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 7 + 0 + 31 + 611 + 2 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×241070316112080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88923021925 + ... + 88923024635.

It is an arithmetic number, because the mean of its divisors is an integer number (555919710528).

Almost surely, 2^{241070316112080} is an apocalyptic number.

241070316112080 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 241070316112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533682922106880).

241070316112080 is an abundant number, since it is smaller than the sum of its proper divisors (826295528101680).

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

241070316112080 is a wasteful number, since it uses less digits than its factorization.

241070316112080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 241070316112080 in words is "two hundred forty-one trillion, seventy billion, three hundred sixteen million, one hundred twelve thousand, eighty".