414032134001 has 2 divisors, whose sum is σ = 414032134002. Its totient is φ = 414032134000.

The previous prime is 414032133979. The next prime is 414032134063. The reversal of 414032134001 is 100431230414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 356934553600 + 57097580401 = 597440^2 + 238951^2 .

It is a cyclic number.

It is not a de Polignac number, because 414032134001 - 2²² = 414027939697 is a prime.

It is not a weakly prime, because it can be changed into another prime (414032134081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207016067000 + 207016067001.

It is an arithmetic number, because the mean of its divisors is an integer number (207016067001).

Almost surely, 2^414032134001 is an apocalyptic number.

It is an amenable number.

414032134001 is a deficient number, since it is larger than the sum of its proper divisors (1).

414032134001 is an equidigital number, since it uses as much as digits as its factorization.

414032134001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 414032134001 its reverse (100431230414), we get a palindrome (514463364415).

The spelling of 414032134001 in words is "four hundred fourteen billion, thirty-two million, one hundred thirty-four thousand, one".