414104322331001 has 2 divisors, whose sum is σ = 414104322331002. Its totient is φ = 414104322331000.

The previous prime is 414104322330997. The next prime is 414104322331039. The reversal of 414104322331001 is 100133223401414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339355346560000 + 74748975771001 = 18421600^2 + 8645749^2 .

It is a cyclic number.

It is not a de Polignac number, because 414104322331001 - 2² = 414104322330997 is a prime.

It is not a weakly prime, because it can be changed into another prime (414104322331201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207052161165500 + 207052161165501.

It is an arithmetic number, because the mean of its divisors is an integer number (207052161165501).

Almost surely, 2^{414104322331001} is an apocalyptic number.

It is an amenable number.

414104322331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

414104322331001 is an equidigital number, since it uses as much as digits as its factorization.

414104322331001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 414104322331001 its reverse (100133223401414), we get a palindrome (514237545732415).

The spelling of 414104322331001 in words is "four hundred fourteen trillion, one hundred four billion, three hundred twenty-two million, three hundred thirty-one thousand, one".