1042640462401 has 2 divisors, whose sum is σ = 1042640462402. Its totient is φ = 1042640462400.

The previous prime is 1042640462387. The next prime is 1042640462407.

1042640462401 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 746703374400 + 295937088001 = 864120^2 + 544001^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1042640462401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1042640462407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 521320231200 + 521320231201.

It is an arithmetic number, because the mean of its divisors is an integer number (521320231201).

Almost surely, 2^{1042640462401} is an apocalyptic number.

It is an amenable number.

1042640462401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1042640462401 is an equidigital number, since it uses as much as digits as its factorization.

1042640462401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 1042640462401 in words is "one trillion, forty-two billion, six hundred forty million, four hundred sixty-two thousand, four hundred one".