4142313120240 has 60 divisors (see below), whose sum is σ = 13911268231224. Its totient is φ = 1104616831872.

The previous prime is 4142313120181. The next prime is 4142313120259. The reversal of 4142313120240 is 420213132414.

4142313120240 is a `hidden beast` number, since 4 + 1 + 423 + 1 + 31 + 202 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×4142313120240² (a number of 26 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2876605614 + ... + 2876607053.

Almost surely, 2^{4142313120240} is an apocalyptic number.

4142313120240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142313120240 is an abundant number, since it is smaller than the sum of its proper divisors (9768955110984).

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

4142313120240 is a wasteful number, since it uses less digits than its factorization.

4142313120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753212686 (or 5753212677 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4142313120240 its reverse (420213132414), we get a palindrome (4562526252654).

The spelling of 4142313120240 in words is "four trillion, one hundred forty-two billion, three hundred thirteen million, one hundred twenty thousand, two hundred forty".