3131042214240 has 144 divisors (see below), whose sum is σ = 10685387565216. Its totient is φ = 834889420800.

The previous prime is 3131042214203. The next prime is 3131042214241. The reversal of 3131042214240 is 424122401313.

3131042214240 is a `hidden beast` number, since 3 + 1 + 3 + 10 + 4 + 221 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131042214241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24691800 + ... + 24818280.

It is an arithmetic number, because the mean of its divisors is an integer number (74204080314).

Almost surely, 2^{3131042214240} is an apocalyptic number.

3131042214240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3131042214240 is an abundant number, since it is smaller than the sum of its proper divisors (7554345350976).

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

3131042214240 is a wasteful number, since it uses less digits than its factorization.

3131042214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143693 (or 143682 counting only the distinct ones).

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

Adding to 3131042214240 its reverse (424122401313), we get a palindrome (3555164615553).

The spelling of 3131042214240 in words is "three trillion, one hundred thirty-one billion, forty-two million, two hundred fourteen thousand, two hundred forty".