414544100031 has 24 divisors (see below), whose sum is σ = 619559282160. Its totient is φ = 266778892800.

The previous prime is 414544100027. The next prime is 414544100057. The reversal of 414544100031 is 130001445414.

414544100031 is a `hidden beast` number, since 4 + 14 + 544 + 100 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 414544100031 - 2² = 414544100027 is a prime.

It is a super-2 number, since 2×414544100031² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414544099968 and 414544100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414544100021) 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 23 ways as a sum of consecutive naturals, for example, 1149391 + ... + 1466351.

It is an arithmetic number, because the mean of its divisors is an integer number (25814970090).

Almost surely, 2^414544100031 is an apocalyptic number.

414544100031 is a deficient number, since it is larger than the sum of its proper divisors (205015182129).

414544100031 is a wasteful number, since it uses less digits than its factorization.

414544100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322007 (or 322004 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 414544100031 its reverse (130001445414), we get a palindrome (544545545445).

The spelling of 414544100031 in words is "four hundred fourteen billion, five hundred forty-four million, one hundred thousand, thirty-one".