440014140112131 has 64 divisors (see below), whose sum is σ = 703281198480000. Its totient is φ = 270290301235200.

The previous prime is 440014140112097. The next prime is 440014140112159. The reversal of 440014140112131 is 131211041410044.

440014140112131 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 1 + 41 + 401 + 1 + 213 + 1 = 666.

It is not a de Polignac number, because 440014140112131 - 2⁷ = 440014140112003 is a prime.

It is a super-2 number, since 2×440014140112131² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 440014140112095 and 440014140112104.

It is not an unprimeable number, because it can be changed into a prime (440014140182131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7678967181 + ... + 7679024481.

It is an arithmetic number, because the mean of its divisors is an integer number (10988768726250).

Almost surely, 2^{440014140112131} is an apocalyptic number.

440014140112131 is a deficient number, since it is larger than the sum of its proper divisors (263267058367869).

440014140112131 is a wasteful number, since it uses less digits than its factorization.

440014140112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96341 (or 96335 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 440014140112131 its reverse (131211041410044), we get a palindrome (571225181522175).

The spelling of 440014140112131 in words is "four hundred forty trillion, fourteen billion, one hundred forty million, one hundred twelve thousand, one hundred thirty-one".