414031332889 has 2 divisors, whose sum is σ = 414031332890. Its totient is φ = 414031332888.

The previous prime is 414031332817. The next prime is 414031332893. The reversal of 414031332889 is 988233130414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 350839428489 + 63191904400 = 592317^2 + 251380^2 .

It is a cyclic number.

It is not a de Polignac number, because 414031332889 - 2¹¹ = 414031330841 is a prime.

It is a super-2 number, since 2×414031332889² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414031372889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207015666444 + 207015666445.

It is an arithmetic number, because the mean of its divisors is an integer number (207015666445).

Almost surely, 2^414031332889 is an apocalyptic number.

It is an amenable number.

414031332889 is a deficient number, since it is larger than the sum of its proper divisors (1).

414031332889 is an equidigital number, since it uses as much as digits as its factorization.

414031332889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 414031332889 in words is "four hundred fourteen billion, thirty-one million, three hundred thirty-two thousand, eight hundred eighty-nine".