20414012031 has 48 divisors (see below), whose sum is σ = 34238550528. Its totient is φ = 11479896000.

The previous prime is 20414012009. The next prime is 20414012033. The reversal of 20414012031 is 13021041402.

20414012031 is a `hidden beast` number, since 20 + 41 + 401 + 203 + 1 = 666.

It is not a de Polignac number, because 20414012031 - 2⁵ = 20414011999 is a prime.

It is a super-2 number, since 2×20414012031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20414011995 and 20414012013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414012033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1053016 + ... + 1072226.

It is an arithmetic number, because the mean of its divisors is an integer number (713303136).

Almost surely, 2^20414012031 is an apocalyptic number.

20414012031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20414012031 is a deficient number, since it is larger than the sum of its proper divisors (13824538497).

20414012031 is a wasteful number, since it uses less digits than its factorization.

20414012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19492 (or 19489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20414012031 its reverse (13021041402), we get a palindrome (33435053433).

The spelling of 20414012031 in words is "twenty billion, four hundred fourteen million, twelve thousand, thirty-one".