1042134312401 has 16 divisors (see below), whose sum is σ = 1282898601600. Its totient is φ = 824371129728.

The previous prime is 1042134312389. The next prime is 1042134312491.

1042134312401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1042134312401 - 2³⁴ = 1024954443217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1042134312491) 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 15 ways as a sum of consecutive naturals, for example, 780491 + ... + 1641168.

It is an arithmetic number, because the mean of its divisors is an integer number (80181162600).

Almost surely, 2^{1042134312401} is an apocalyptic number.

It is an amenable number.

1042134312401 is a deficient number, since it is larger than the sum of its proper divisors (240764289199).

1042134312401 is a wasteful number, since it uses less digits than its factorization.

1042134312401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426408.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 1042134312401 in words is "one trillion, forty-two billion, one hundred thirty-four million, three hundred twelve thousand, four hundred one".