1040332330401 has 96 divisors (see below), whose sum is σ = 1843127193600. Its totient is φ = 515894520960.

The previous prime is 1040332330399. The next prime is 1040332330409.

1040332330401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1040332330401 - 2¹ = 1040332330399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1040332330409) 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 95 ways as a sum of consecutive naturals, for example, 4647120 + ... + 4865838.

It is an arithmetic number, because the mean of its divisors is an integer number (19199241600).

Almost surely, 2^{1040332330401} is an apocalyptic number.

It is an amenable number.

1040332330401 is a deficient number, since it is larger than the sum of its proper divisors (802794863199).

1040332330401 is a wasteful number, since it uses less digits than its factorization.

1040332330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218899 (or 218892 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 1040332330401 in words is "one trillion, forty billion, three hundred thirty-two million, three hundred thirty thousand, four hundred one".