4142241414000 has 240 divisors, whose sum is σ = 15228915480480. Its totient is φ = 1046460902400.

The previous prime is 4142241413993. The next prime is 4142241414001. The reversal of 4142241414000 is 4141422414.

It is a happy number.

4142241414000 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 241 + 414 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142241414001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5713909 + ... + 6397908.

It is an arithmetic number, because the mean of its divisors is an integer number (63453814502).

Almost surely, 2^{4142241414000} is an apocalyptic number.

4142241414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142241414000 is an abundant number, since it is smaller than the sum of its proper divisors (11086674066480).

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

4142241414000 is a wasteful number, since it uses less digits than its factorization.

4142241414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111865 (or 12111846 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4142241414000 its reverse (4141422414), we get a palindrome (4146382836414).

The spelling of 4142241414000 in words is "four trillion, one hundred forty-two billion, two hundred forty-one million, four hundred fourteen thousand".