405678838131 has 16 divisors (see below), whose sum is σ = 686863641600. Its totient is φ = 231816478824.

The previous prime is 405678838099. The next prime is 405678838133. The reversal of 405678838131 is 131838876504.

It is a happy number.

405678838131 is a `hidden beast` number, since 40 + 567 + 8 + 8 + 3 + 8 + 1 + 31 = 666.

It is not a de Polignac number, because 405678838131 - 2⁵ = 405678838099 is a prime.

It is a super-2 number, since 2×405678838131² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405678838133) 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 15 ways as a sum of consecutive naturals, for example, 1073224251 + ... + 1073224628.

It is an arithmetic number, because the mean of its divisors is an integer number (42928977600).

Almost surely, 2^405678838131 is an apocalyptic number.

405678838131 is a deficient number, since it is larger than the sum of its proper divisors (281184803469).

405678838131 is a wasteful number, since it uses less digits than its factorization.

405678838131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146448895 (or 2146448889 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 405678838131 in words is "four hundred five billion, six hundred seventy-eight million, eight hundred thirty-eight thousand, one hundred thirty-one".