241513158705000 has 1920 divisors, whose sum is σ = 971691263262720. Its totient is φ = 48910417920000.

The previous prime is 241513158704999. The next prime is 241513158705001. The reversal of 241513158705000 is 507851315142.

It is an interprime number because it is at equal distance from previous prime (241513158704999) and next prime (241513158705001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (241513158705001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 69862063272 + ... + 69862066728.

It is an arithmetic number, because the mean of its divisors is an integer number (506089199616).

Almost surely, 2^{241513158705000} is an apocalyptic number.

241513158705000 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 241513158705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485845631631360).

241513158705000 is an abundant number, since it is smaller than the sum of its proper divisors (730178104557720).

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

241513158705000 is a wasteful number, since it uses less digits than its factorization.

241513158705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3645 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 241513158705000 in words is "two hundred forty-one trillion, five hundred thirteen billion, one hundred fifty-eight million, seven hundred five thousand".