2424141142000 has 80 divisors (see below), whose sum is σ = 5960922271200. Its totient is φ = 953221555200.

The previous prime is 2424141141977. The next prime is 2424141142051. The reversal of 2424141142000 is 2411414242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 10153785 + ... + 10389784.

It is an arithmetic number, because the mean of its divisors is an integer number (74511528390).

Almost surely, 2^{2424141142000} is an apocalyptic number.

2424141142000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424141142000 is an abundant number, since it is smaller than the sum of its proper divisors (3536781129200).

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

2424141142000 is a wasteful number, since it uses less digits than its factorization.

2424141142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20543651 (or 20543635 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 2424141142000 its reverse (2411414242), we get a palindrome (2426552556242).

The spelling of 2424141142000 in words is "two trillion, four hundred twenty-four billion, one hundred forty-one million, one hundred forty-two thousand".