241672714716000 has 384 divisors, whose sum is σ = 833498905075200. Its totient is φ = 61046128281600.

The previous prime is 241672714715987. The next prime is 241672714716077. The reversal of 241672714716000 is 617417276142.

It is a happy number.

It is a super-2 number, since 2×241672714716000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1839666319 + ... + 1839797681.

It is an arithmetic number, because the mean of its divisors is an integer number (2170570065300).

Almost surely, 2^{241672714716000} is an apocalyptic number.

241672714716000 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 241672714716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416749452537600).

241672714716000 is an abundant number, since it is smaller than the sum of its proper divisors (591826190359200).

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

241672714716000 is a wasteful number, since it uses less digits than its factorization.

241672714716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139479 (or 139461 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 241672714716000 in words is "two hundred forty-one trillion, six hundred seventy-two billion, seven hundred fourteen million, seven hundred sixteen thousand".