4100414031 has 36 divisors (see below), whose sum is σ = 6895746000. Its totient is φ = 2341075968.

The previous prime is 4100414027. The next prime is 4100414047. The reversal of 4100414031 is 1304140014.

It is not a de Polignac number, because 4100414031 - 2² = 4100414027 is a prime.

It is a super-2 number, since 2×4100414031² = 33626790451243337922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100413995 and 4100414013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100414531) 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 35 ways as a sum of consecutive naturals, for example, 618070 + ... + 624668.

It is an arithmetic number, because the mean of its divisors is an integer number (191548500).

Almost surely, 2^4100414031 is an apocalyptic number.

4100414031 is a deficient number, since it is larger than the sum of its proper divisors (2795331969).

4100414031 is a wasteful number, since it uses less digits than its factorization.

4100414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8018 counting only the distinct ones).

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

The square root of 4100414031 is about 64034.4753316524. The cubic root of 4100414031 is about 1600.5745372869.

Adding to 4100414031 its reverse (1304140014), we get a palindrome (5404554045).

The spelling of 4100414031 in words is "four billion, one hundred million, four hundred fourteen thousand, thirty-one".