1042336332401 has 24 divisors (see below), whose sum is σ = 1306744493544. Its totient is φ = 824099028480.

The previous prime is 1042336332397. The next prime is 1042336332439.

1042336332401 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 38484630625 + 1003851701776 = 196175^2 + 1001924^2 .

It is not a de Polignac number, because 1042336332401 - 2² = 1042336332397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042336332461) 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 23 ways as a sum of consecutive naturals, for example, 265811 + ... + 1468103.

It is an arithmetic number, because the mean of its divisors is an integer number (54447687231).

Almost surely, 2^{1042336332401} is an apocalyptic number.

It is an amenable number.

1042336332401 is a deficient number, since it is larger than the sum of its proper divisors (264408161143).

1042336332401 is a wasteful number, since it uses less digits than its factorization.

1042336332401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203681 (or 1203674 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 1042336332401 in words is "one trillion, forty-two billion, three hundred thirty-six million, three hundred thirty-two thousand, four hundred one".