414311412031 has 32 divisors (see below), whose sum is σ = 474084737280. Its totient is φ = 358674220800.

The previous prime is 414311412023. The next prime is 414311412037. The reversal of 414311412031 is 130214113414.

It is a cyclic number.

It is not a de Polignac number, because 414311412031 - 2³ = 414311412023 is a prime.

It is a super-2 number, since 2×414311412031² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414311411987 and 414311412005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414311412037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32826040 + ... + 32838658.

It is an arithmetic number, because the mean of its divisors is an integer number (14815148040).

Almost surely, 2^414311412031 is an apocalyptic number.

414311412031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

414311412031 is a deficient number, since it is larger than the sum of its proper divisors (59773325249).

414311412031 is a wasteful number, since it uses less digits than its factorization.

414311412031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 414311412031 its reverse (130214113414), we get a palindrome (544525525445).

The spelling of 414311412031 in words is "four hundred fourteen billion, three hundred eleven million, four hundred twelve thousand, thirty-one".