4013231142240 has 144 divisors (see below), whose sum is σ = 13732469569728. Its totient is φ = 1067278768128.

The previous prime is 4013231142223. The next prime is 4013231142241. The reversal of 4013231142240 is 422411323104.

4013231142240 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 231 + 1 + 422 + 4 + 0 = 666.

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

It is a super-2 number, since 2×4013231142240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013231142241) 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 23 ways as a sum of consecutive naturals, for example, 3268477 + ... + 4325436.

It is an arithmetic number, because the mean of its divisors is an integer number (95364372012).

Almost surely, 2^{4013231142240} is an apocalyptic number.

4013231142240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013231142240 is an abundant number, since it is smaller than the sum of its proper divisors (9719238427488).

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

4013231142240 is a wasteful number, since it uses less digits than its factorization.

4013231142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594301 (or 7594290 counting only the distinct ones).

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

Adding to 4013231142240 its reverse (422411323104), we get a palindrome (4435642465344).

The spelling of 4013231142240 in words is "four trillion, thirteen billion, two hundred thirty-one million, one hundred forty-two thousand, two hundred forty".