241152142000 has 640 divisors, whose sum is σ = 776421734400. Its totient is φ = 70170624000.

The previous prime is 241152141973. The next prime is 241152142027. The reversal of 241152142000 is 241251142.

It is an interprime number because it is at equal distance from previous prime (241152141973) and next prime (241152142027).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213597436 + ... + 213598564.

It is an arithmetic number, because the mean of its divisors is an integer number (1213158960).

Almost surely, 2^241152142000 is an apocalyptic number.

241152142000 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 241152142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388210867200).

241152142000 is an abundant number, since it is smaller than the sum of its proper divisors (535269592400).

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

241152142000 is a wasteful number, since it uses less digits than its factorization.

241152142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 241152142000 its reverse (241251142), we get a palindrome (241393393142).

The spelling of 241152142000 in words is "two hundred forty-one billion, one hundred fifty-two million, one hundred forty-two thousand".