1040334330401 has 2 divisors, whose sum is σ = 1040334330402. Its totient is φ = 1040334330400.

The previous prime is 1040334330383. The next prime is 1040334330421.

It is a happy number.

1040334330401 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1036374900625 + 3959429776 = 1018025^2 + 62924^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1040334330401 - 2¹⁴ = 1040334314017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1040334330421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520167165200 + 520167165201.

It is an arithmetic number, because the mean of its divisors is an integer number (520167165201).

Almost surely, 2^{1040334330401} is an apocalyptic number.

It is an amenable number.

1040334330401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1040334330401 is an equidigital number, since it uses as much as digits as its factorization.

1040334330401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 1040334330401 in words is "one trillion, forty billion, three hundred thirty-four million, three hundred thirty thousand, four hundred one".