241945161870720 has 1024 divisors, whose sum is σ = 970049501337600. Its totient is φ = 50242853928960.

The previous prime is 241945161870637. The next prime is 241945161870739. The reversal of 241945161870720 is 27078161549142.

241945161870720 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 2×241945161870720² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38228020516 + ... + 38228026844.

It is an arithmetic number, because the mean of its divisors is an integer number (947313966150).

Almost surely, 2^{241945161870720} is an apocalyptic number.

241945161870720 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 241945161870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485024750668800).

241945161870720 is an abundant number, since it is smaller than the sum of its proper divisors (728104339466880).

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

241945161870720 is a wasteful number, since it uses less digits than its factorization.

241945161870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 241945161870720 in words is "two hundred forty-one trillion, nine hundred forty-five billion, one hundred sixty-one million, eight hundred seventy thousand, seven hundred twenty".